1.
ＥＢ
by Hans Triebel
目次情報:
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Preface
Fundamental principles
The essentials, key theorems
Further topics
Complements
Preface
Fundamental principles
The essentials, key theorems
2.
ＥＢ
by Christian Clason
目次情報:
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Topological basics
Linear operators between normed spaces
Dual spaces and weak convergence
Compact operators between Banach spaces
Hilbert spaces
Topological basics
Linear operators between normed spaces
Dual spaces and weak convergence
3.
ＥＢ
by John Toland
目次情報:
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1 Introduction
2 Notation and Preliminaries
3 L∞ and its Dual
4 Finitely Additive Measures
5 G: 0-1 Finitely Additive Measures
6 Integration and Finitely Additive Measures
7 Topology on G
8 Weak Convergence in L∞(X,L,λ)
9 L∞* when X is a Topological Space
10 Reconciling Representations
References
Index
1 Introduction
2 Notation and Preliminaries
3 L∞ and its Dual
4.
ＥＢ
edited by Andrei Raigorodskii, Michael Th. Rassias
目次情報:
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On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
Inequalities for weighted trigonometric sums
Norm Inequalities for Generalized Laplace Transforms
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins
The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
The second moment of the first derivative of Hardy's Z-function
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
A remark on sets with small Wiener norm
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
5.
ＥＢ
by Thomas Alazard, Claude Zuily
目次情報:
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Part I Tools and Problems
1 Elements of functional analysis and distributions
2 Statements of the problems of Chapter 1
3 Functional spaces
4 Statements of the problems of Chapter 3
5 Microlocal analysis
6 Statements of the problems of Chapter 5
7 The classical equations
8 Statements of the problems of Chapter 7
Part II Solutions of the Problems. A Classical results. Index
Part I Tools and Problems
1 Elements of functional analysis and distributions
2 Statements of the problems of Chapter 1
6.
ＥＢ
by Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal
目次情報:
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Part I: Preliminaries
1 Hyperbolic geometry and interation
2. Holomorphic functions with non-negative real part
3. Univalent functions
4. Carathéodory’s prime ends theory
5. Hyperbolic geometry in simply connected domains
6. Quasi-geodesics and localization
7. Harmonic measures and Bloch functions
Part II: Semigroups
8 Semigroups of holomorphic functions
9 Models and Koenigs functions
10 Infinitesimal generators
11 Extension to the boundary
12 Boundary fixed points and infinitesimal generators
13 Fixed points, backward invariant sets and petals
14 Contact points
15 Poles of the infinitesimal generators
16 Rate of convergence at the Denjoy-Wolffpoint
17 Slopes of orbits at the Denjoy-Wolffpoint
18 Topological invariants
Part I: Preliminaries
1 Hyperbolic geometry and interation
2. Holomorphic functions with non-negative real part
7.
ＥＢ
edited by Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová
目次情報:
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Primitive Equations for Oceanic and Atmospheric Dynamics
Viscous Compressible Flows under Pressure
Global Well-posedness for Incompressible-Incompressible Two Phase Problem
The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations
Pressure Dependent Material Coefficients
FE Pressure Stabilizations for Incompressible Flow Problems
Finite-Volume Methods for Navier-Stokes Equations
Primitive Equations for Oceanic and Atmospheric Dynamics
Viscous Compressible Flows under Pressure
Global Well-posedness for Incompressible-Incompressible Two Phase Problem
8.
ＥＢ
by Aidan Sims, Gábor Szabó, Dana Williams ; edited by Francesc Perera
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名:
Advanced Courses in Mathematics - CRM Barcelona ;
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-39713-5
所蔵情報:
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目次情報:
A primer on Crossed Products (Dana P. Williams)
Hausdorff étale groupoids and their C*-algebras (Aidan Sims)
Introduction to Rokhlin dimension (Gábor Szabó)
A primer on Crossed Products (Dana P. Williams)
Hausdorff étale groupoids and their C*-algebras (Aidan Sims)
Introduction to Rokhlin dimension (Gábor Szabó)
9.
ＥＢ
edited by Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名:
Operator Theory: Advances and Applications ; 278
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-43380-2
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Following in the Footsteps of Ronald G. Douglas
Functional Models for Commuting Hilbert space Contractions
The Extended Aluthge Transform
Open Problems in Wavelet Theory
When is Every Quasi-multiplier a Multiplier?
Isomorphism in Wavelets II
Nevanlinna-Pick Families and Singular Rational Varieties
On Certain Commuting Isometries, Joint Invariant Subspaces and C*-algebras
Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations
Invariance of the Essential Spectra of Operator Pencils
Decomposition of the Tensor Product of two Hilbert Modules
A Survey on Classification of C*-Algebras with the Ideal Property
A Survey on the Arveson-Douglas Conjecture
Cauchy-Riemann Equation for Free Noncommutative Functions
Uniform Roe Algebras and Geometric RD Property
Integral Curvature and Similarity of Cowen-Douglas Operators
Singular Subgroups in \widetilde{A}_2-groups and Their von Neumann Algebras
A K-theoretic Selberg Trace Formula
Singular Hilbert Modules on Jordan-Kepler Varieties
A Survey of Ron Douglas’s Contributions to the Index Theory of Toeplitz Operators
Differential Subalgebras and Norm-controlled Inversion
Hermitian Metrics on the Resolvent Set and Extremal Arc Length
Hybrid Normed Ideal Perturbations of n-tuples of Operators II: Weak Wave Operators
An Introduce to Curvature Inequalities for Operators in the Cowen-Douglas Class
Reproducing Kernel of the Space R^t(K,\mu)
Following in the Footsteps of Ronald G. Douglas
Functional Models for Commuting Hilbert space Contractions
The Extended Aluthge Transform
10.
ＥＢ
edited by Jin Cheng, Shuai Lu, Masahiro Yamamoto
目次情報:
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Preface
I Inverse problems and related topics for partial differential equations: 1. Jin Cheng, Mourad Choulli and Shuai Lu, An inverse conductivity problem in multifrequency electric impedance tomography
2. Piermarco Cannarsa and Cristina Urbani, Superexponential stabilizability of degenerate parabolic equations via bilinear control
3. Michel Cristofol and Lionel Roques, Simultaneous determination of two coefficients in Itô diffusion processes-theoretical and numerical approaches
4. Victor Isakov and Shuai Lu, On the inverse source problem with boundary data at many wave numbers
5. Guanghui Hu, Yikan Liu and Masahiro Yamamoto, Inverse moving source problem for fractional diffusion(-wave) equations: determination of orbits
6. O. Yu. Imanuvilov and M. Yamamoto, Inverse problems for a compressible fluid system
7. Xinchi Huang, Carleman estimate for a general second-order hyperbolic equation
II Regularization theory of inverse problems
8. Bernd Hofmann and Peter Mathé, A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems
9. Daniel Gerth, Bernd Hofmann and Christopher Hofmann, Case studies and a pitfall for nonlinear variational regularizationunder conditional stability
10. Mykola Krasnoschok, Sergei Pereverzyev, Sergii V. Siryk and Nataliya Vasylyeva, Regularized reconstruction of the order in semilinear subdiffusion with memory
11. Ronny Ramlau, Christoph Koutschan, and Bernd Hofmann, On the singular value decomposition of n-fold integration operators
12. Daniel Gerth and Stefan Kindermann, The Kurdyka-Šojasiewicz inequality as regularity condition
13. Kazufumi Ito, Value function calculus and applications
Preface
I Inverse problems and related topics for partial differential equations: 1. Jin Cheng, Mourad Choulli and Shuai Lu, An inverse conductivity problem in multifrequency electric impedance tomography
2. Piermarco Cannarsa and Cristina Urbani, Superexponential stabilizability of degenerate parabolic equations via bilinear control
11.
ＥＢ
by Dimitrios Ntalampekos
12.
ＥＢ
edited by Naokant Deo, Vijay Gupta, Ana Maria Acu, P. N. Agrawal
目次情報:
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A. J. Lopez-Moreno, Expressions, Localization Results and Voronovskaja Formulas for Generalized Durrmeyer Type Operators
P. N. Agrawal and A. Kumar, Lupas Kantorovich Type Operators for Functions of Two Variables
S. Pandey, S. R. Verma and S. Dixit, Bernstein Polynomials Multi Wavelets Operational Matrix for Solution of Differential Equation
V. Gupta, Convergence Estimates of Certain Exponential Type Operators
N. Bhardwaj, A Better Error Estimation on Generalized Positive Linear Operators Based on PED and IPED
R. Pratap and N. Deo, Approximation by α-Bernstein–Kantrovich Operator
A. A. Maria and V. A. Radu, Approximation by Certain Operators Linking the α-Bernstein and the Genuine α-Bernstein–Durrmeyer Operators
M. Heilmann and I. Rasa, Note on a Proof for the Representation of the k-th Order Kantorovich Modification of Linking Baskakov Type Operators
R. Chauhan and P. N. Agrawal, Degree of Approximation by Generalized Boolean Sum of λ-Bernstein Operators
M. Dhamija, Durrmeyer Modification of Lupas Type Baskakov Operators Based on IPED
F. Ozsarac, A. Aral and H. Karsli, On Bernstein–Chlodowsky Type Operators Preserving Exponential Functions
A.-D. Filip and V. A. Radu, Iterative Approximation of Common Fixed Points in Kasahara Spaces
V. Sihag and Dinesh, Vinod, Fixed Point Theorem in Fuzzy Metric Space Via α-Series Contraction
A. A. Aserkar and M. P. Gandhi, The Unique Common Fixed-Point Theorem for Four Mappings Satisfying Common Limit in the Range
S. Gandhi, Radius Estimates for Three Leaf Function and Convex Combination of Starlike Functions
S. Anand, S. Kumar and V. Ravichandran: Starlikeness Associated with Admissible Functions
M. Mundalia and S. S. Kumar, Coefficient Bounds for a Unified Class of Holomorphic Functions
N. K. Jain and S. Yadav, Bohr Radius for Certain Analytic Functions
V. Kumar, S. Kumar and V. Ravichandran, Third Hankel Determinant for Certain Classes of Analytic Functions
R. Haloi and M. Sen, μ-Statistical Convergence of Sequences in Probabilistic n-Normed Spaces
S. Shah and T. Das, Recent Advances in Distributional Chaos Theory
A. K. Verma and S. Kumar, Lacunary Statistical Convergence of Order α for Generalized Difference Sequences and Summability through Modulus Function
Ritika, Convergence of Three Step Iterative Process for Generalized Asymptotically Quasi-Non expansive Mappings in CAT(0) Spaces
A. J. Lopez-Moreno, Expressions, Localization Results and Voronovskaja Formulas for Generalized Durrmeyer Type Operators
P. N. Agrawal and A. Kumar, Lupas Kantorovich Type Operators for Functions of Two Variables
S. Pandey, S. R. Verma and S. Dixit, Bernstein Polynomials Multi Wavelets Operational Matrix for Solution of Differential Equation
13.
ＥＢ
by Sergey V. Astashkin
目次情報:
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Rademacher functions in L_p-spaces
The Rademacher system in symmetric spaces situated "far" from L_\infty
The Rademacher system in symmetric spaces situated "close" to L_\infty
Rademacher sums with vector coefficients
Best constants in the Khintchine and Kahane-Khintchine inequalities
The Rademacher chaos in symmetric spaces
The comparison of systems of random variables
The extraction of lacunary subsystems
Extreme properties of the Rademacher system
Bernoulli processes
Rademacher multiplicator spaces
Some versions of the Khintchine inequality
Martingale transforms of the Rademacher sequence in symmetric spaces
Rademacher functions in BMO and Paley spaces
Rademacher functions in Cesaro type spaces
Rademacher functions in Morrey spaces
Appendix A. Some preliminaries from probability theory
Appendix B. Basic sequences and lacunary systems
Appendix C. Banach function lattices and symmetric spaces
Appendix D. Interpolation of operators and spaces of the real method of interpolation
Rademacher functions in L_p-spaces
The Rademacher system in symmetric spaces situated "far" from L_\infty
The Rademacher system in symmetric spaces situated "close" to L_\infty
14.
ＥＢ
by Daniel Hug, Wolfgang Weil
目次情報:
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Preface
Preliminaries and Notation
1. Convex Sets
2. Convex Functions
3. Brunn-Minkowski Theory
4. From Area Measures to Valuations
5. Integral Geometric Formulas.-6. Solutions of Selected Exercises
References
Index
Preface
Preliminaries and Notation
1. Convex Sets
15.
ＥＢ
edited by Paolo Boggiatto, Marco Cappiello, Elena Cordero, Sandro Coriasco, Gianluca Garello, Alessandro Oliaro, Jörg Seiler
目次情報:
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Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces
Hardy spaces on weighted homogeneous trees
The global Cauchy problem for the plate equation in weighted Sobolev spaces
Cone-Adapted Shearlets and Radon Transforms
Linear perturbations of the Wigner transform and the Weyl quantization
About the nuclearity of S(Mp) and Sw
Spaces of ultradifferentiable functions of multi-anisotropic type
Comparison principle for non-cooperative elliptic systems and applications
O n the simple layer potential ansatz for the n-dimensional Helmholtz equation
Decay estimates and Gevrey smoothing for a strongly damped plate equation
Long time decay estimates in real Hardy spaces for the Double Dispersion Equation
On Density Operators with Gaussian Weyl Symbols
On the solvability of a class of second order degenerate operators
Small data solutions for semilinear waves with time-dependent damping and mass terms
Integrating Gauge Fields in the -formulation of Feynman’s path integral
A Class of Well-Posed Parabolic Final Value Problems
Localization of a Class of Muckenhoupt Weights by Using Mellin Pseudo-Differential Operators
Carleman regularization and hyperfunctions
Strictly hyperbolic Cauchy problems with coefficients low-regular in time and space
Quantization and Coorbit Spaces for Nilpotent Groups
On the Measurability of Stochastic Fourier Integral Operators
Convolution and Anti-Wick quantisation on ultradistribution spaces
Exact formulas to the solutions of several generalizations of the nonlinear Schrödinger equation
Dirichlet-to-Neumann Operator and Zaremba Problem
Extended Gevrey regularity via the short-time Fourier transform
Wiener estimates on modulation spaces
The Gabor wave front set of compactly supported distributions
Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces
Hardy spaces on weighted homogeneous trees
The global Cauchy problem for the plate equation in weighted Sobolev spaces
16.
ＥＢ
by Ileana Bucur, Gavriil Paltineanu
目次情報:
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Approximation of continuous functions on compact spaces
Approximation of continuous functions on locally compact spaces
Approximation of continuous differentiable functions
Approximations theorems in locally convex lattices
Approximation of continuous functions on compact spaces
Approximation of continuous functions on locally compact spaces
Approximation of continuous differentiable functions
17.
ＥＢ
edited by Paolo Boggiatto, Tommaso Bruno, Elena Cordero, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco, Maria Vallarino
目次情報:
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Radon transform: dual pairs and irreducible representations
Data approximation with time-frequency invariant systems
The Shearlet transform and Lizorkin spaces
Time-frequency localization operators: state of the art
Time-frequency analysis: what we know and what we don't
Some notes about distribution frame multipliers
Generalized Anti-Wick quantum states
Signal analysis and quantum formalism. Quantizations with no Planck constant
Quantization methods in ocular fundus imaging: analysis of retinal microvasculature
A time-frequency analysis perspective on Feynman path integrals
Radon transform: dual pairs and irreducible representations
Data approximation with time-frequency invariant systems
The Shearlet transform and Lizorkin spaces
18.
ＥＢ
by Stefano Gentili
目次情報:
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Part I Sets: 1 Round-up of topology
2 Types of sets
Part II Borel sets and Baire functions on R: 3 Borel sets in R
4.Baire functions on R
5 Borel functions and Baire functions
Part III Families of sets: 6 Semi-algebras and algebras of sets
7. Monotone classes and σ-algebras
Part IV Measure theory: 8. Set functions and measure
9 The Lebesgue measure
10. Measurable functions
Part V Theory of integration: 11 The Lebesgue integral
12 Comparing notions of integral
Part VI Fundamental theorems of integral calculus: 13 Bounded variations and absolute continuity
14 Fundamental theorems of calculus for the Lebesgue integral
Part VII Appendices: A Compact and totally bounded metric spaces
B Urysohn’s lemma and Tietze’s theorem
Part I Sets: 1 Round-up of topology
2 Types of sets
Part II Borel sets and Baire functions on R: 3 Borel sets in R
19.
ＥＢ
by Alberto Valli
目次情報:
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1. Introduction
2. Second order linear elliptic equations
3. A bit of functional analysis
4. Weak derivatives and Sobolev spaces
5. Weak formulation of elliptic PDEs
6. Technical results
7. Additional results
8. Saddle points problems
9. Parabolic PDEs
10. Hyperbolic PDEs
A Partition of unity
B Lipschitz continuous and smooth domains
C Integration by parts for smooth functions and vector fields
D Reynolds transport theorem
E Gronwall lemma
F Necessary and sufficient conditions for the well-posedness of the variationalproblem
1. Introduction
2. Second order linear elliptic equations
3. A bit of functional analysis
20.
ＥＢ
by Jürgen Voigt
目次情報:
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Initial topology, topological vector spaces, weak topology
Convexity, separation theorems, locally convex spaces
Polars, bipolar theorem, polar topologies
The theorems of Tikhonov and Alaoglu-Bourbaki
The theorem of Mackey-Arens
Topologies on E'', quasi-barrelled and barrelled spaces
Reflexivity
Completeness
Locally convex final topology, topology of D(\Omega)
Precompact
compact – complete
The theorems of Banach--Dieudonne and Krein—Smulian
The theorems of Eberlein--Grothendieck and Eberlein—Smulian
The theorem of Krein
Weakly compact sets in L_1(\mu)
\cB_0''=\cB
The theorem of Krein—Milman
A The theorem of Hahn-Banach
B Baire's theorem and the uniform boundedness theorem
Initial topology, topological vector spaces, weak topology
Convexity, separation theorems, locally convex spaces
Polars, bipolar theorem, polar topologies
21.
ＥＢ
by Huayi Chen, Atsushi Moriwaki
目次情報:
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Introduction
Metrized vector bundles: local theory
Local metrics
Adelic curves
Vector bundles on adelic curves: global theory
Slopes of tensor product
Adelic line bundles on arithmetic varieties
Nakai-Moishezon’s criterion
Reminders on measure theory
Introduction
Metrized vector bundles: local theory
Local metrics
22.
ＥＢ
by Asao Arai
目次情報:
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Mathematical Preliminaries
Representations of Canonical Commutation Relations with Finite
Aharonov–Bohm Effect and Inequivalent Representations of CCR
Time Operators
Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom
Elements of the Theory of Boson Fock Spaces
Elements of the Theory of Fermion Fock Spaces
Representations of CCR with Infinite Degrees of Freedom
Representations of CAR with Infinite Degrees of Freedom
Physical Correspondences in Quantum Field Theory
Mathematical Preliminaries
Representations of Canonical Commutation Relations with Finite
Aharonov–Bohm Effect and Inequivalent Representations of CCR
23.
ＥＢ
by Hiroshi Isozaki
目次情報:
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Chapter 1: One-dimensional inverse problems
Chapter 2: Multi-dimensional inverse boundary value problems
Chapter 3: Multi-dimensional Gel’fand-Levitan theory
Chapter 4: Boundary control method
Chapter 5: Other topics
Index
Chapter 1: One-dimensional inverse problems
Chapter 2: Multi-dimensional inverse boundary value problems
Chapter 3: Multi-dimensional Gel’fand-Levitan theory
24.
ＥＢ
by Volker Runde
目次情報:
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Preface
List of Symbols
Introduction
0 Paradoxical Decompositions
1 Amenable, Locally Compact Groups
2 Amenable Banach Algebras
3 Examples
4 Amenability-Like Properties
5 Dual Banach Algebras
6 Banach Homological Algebra
7 Operator Algebras on Hilbert Spaces
8 Operator Amenability
A Banach Spaces
B Banach Algebras
C C*- and Neumann Algebras
D Abstract Harmonic Analysis
E Operator Spaces
F Fourier and Fourier-Stieltjes Algebras
References
Index of Names
Index
Preface
List of Symbols
Introduction
25.
ＥＢ
by Katsuro Sakai
目次情報:
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Chapter 1: Preliminaries and Background Results
Chapter 2: Fundamental Results on Infinite-Dimensional Manifolds
Chapter 3: Characterizations of Hilbert Manifolds and Hilbert Cube Manifolds
Chapter 4: Triangulation of Hilbert Cube Manifolds and Related Topics
Chapter 5: Manifolds Modeled on Homotopy Dense Subspaces of Hilbert Spaces
Chapter 6: Manifolds Modeled on Direct Limits and Combinatorial Manifold
Appendex: PL n-Manifolds and Combinatorial n-Manifolds
Epilogue
Bibliography
Index
Chapter 1: Preliminaries and Background Results
Chapter 2: Fundamental Results on Infinite-Dimensional Manifolds
Chapter 3: Characterizations of Hilbert Manifolds and Hilbert Cube Manifolds
26.
ＥＢ
by John Sheridan Mac Nerney ; edited by William E. Kaufman, Ryan C. Schwiebert
目次情報:
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0. Conventions, Set Theory, Number Systems
1. The Complex Plane, Relations, Functions
2. Boundedness, Convergence, Continuity
3. Paths, Integrals, Derivatives
4. Connectedness, Convexity, Analyticity
5. Triangles, Polygons, Simple Regions
6. Extensions, Contours, Elementary Functions
7. Power-Series, Residues, Singularities
8. Analytic Inverses, Standard Regions, Convergence Continuation
9. Extended Complex Plane, Linear-Fractional Transformations, Meromorphic Functions
10. Analytic Relations, Analytic Continuation, Functional Boundaries, Branch-Points
Appendix A. Homotopy Groups
Appendix B. Automorphic Functions
Appendix C. Excepted Values and Uniformization
Appendix D. Well-ordering
Appendix E. Analytic Surfaces
Mac Nerney's Theorem Numbering in the original Edition
Index
0. Conventions, Set Theory, Number Systems
1. The Complex Plane, Relations, Functions
2. Boundedness, Convergence, Continuity
27.
ＥＢ
by Maria Fragoulopoulou, Camillo Trapani
28.
ＥＢ
by Hideyuki Azegami
目次情報:
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Preface
Notation
Chapter 1: Basics of Optimal Design
Chapter 2: Basics of Optimization Theory
Chapter 3: Basics of Mathematical Programming
Chapter 4: Basics of Variational Principles and Functional Analysis
Chapter 5: Boundary Value Problems of Partial Differential Equations
Chapter 6: Fundamentals of Numerical Analysis
Chapter 7: Abstract Optimum Design Problem
Chapter 8: Topology Optimization Problem of Density Variation Type
Chapter 9: Shape Optimization Problems of Domain Variation Type
Answers to Practice Problems
Afterword
References
Index
Preface
Notation
Chapter 1: Basics of Optimal Design
29.
ＥＢ
by Grigorij Kulinich, Svitlana Kushnirenko, Yuliya Mishura
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics ; 9
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-41291-3
所蔵情報:
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目次情報:
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Introduction to Unstable Processes and Their Asymptotic Behavior
Convergence of Unstable Solutions of SDEs to Homogeneous Markov Processes with Discontinuous Transition Density
Asymptotic Analysis of Equations with Ergodic and Stochastically Unstable Solutions
Asymptotic Behavior of Integral Functionals of Stochastically Unstable Solutions
Asymptotic Behavior of Homogeneous Additive Functionals Defined on the Solutions of Itô SDEs with Non-regular Dependence on a Parameter
Asymptotic Behavior of Homogeneous Additive Functionals of the Solutions to Inhomogeneous Itô SDEs with Non-regular Dependence on a Parameter
A Selected Facts and Auxiliary Results
References
Introduction to Unstable Processes and Their Asymptotic Behavior
Convergence of Unstable Solutions of SDEs to Homogeneous Markov Processes with Discontinuous Transition Density
Asymptotic Analysis of Equations with Ergodic and Stochastically Unstable Solutions
30.
ＥＢ
by David Borthwick
目次情報:
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1. Introduction
2. Hilbert Spaces
3. Operators
4. Spectrum and Resolvent
5. The Spectral Theorem
6. The Laplacian with Boundary Conditions
7. Schrödinger Operators
8. Operators on Graphs
9. Spectral Theory on Manifolds
A. Background Material
References
Index
1. Introduction
2. Hilbert Spaces
3. Operators
31.
ＥＢ
by Stephen J. Gustafson, Israel Michael Sigal
目次情報:
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1 Physical Background
2 Dynamics
3 Observables
4 Quantization
5 Uncertainty Principle and Stability of Atoms and Molecules
6 Spectrum and Dynamics
7 Special Cases
8 Bound States and Variational Principle
9 Scattering States
Existence of Atoms and Molecules
11 Perturbation Theory: Feshbach-Schur Method
12 Born-Oppenheimer Approximation and Adiabatic Dynamics
13 General Theory of Many-particle Systems
14 Self-consistent Approximations
15 The Feynman Path Integral
16 Semi-classical Analysis
17 Resonances
18 Quantum Statistics
19 Open Quantum Systems
20 The Second Quantization
21 Quantum Electro-Magnetic Field – Photons
22 Standard Model of Non-relativistic Matter and Radiation
23 Theory of Radiation
24 Renormalization Group
25 Mathematical Supplement: Spectral Analysis
26 Mathematical Supplement: The Calculus of Variations
27 Comments on Literature, and Further Reading
References
Index
1 Physical Background
2 Dynamics
3 Observables
32.
ＥＢ
by Carlos S. Kubrusly
目次情報:
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Preface
Introductory Results
Spectrum of an Operator
The Spectral Theorem
Functional Calculi
Fredholm Theory in Hilbert Space
Aspects of Fredholm Theory in Banach Space
A Glimpse at Multiplicity Theory
Preface
Introductory Results
Spectrum of an Operator
33.
ＥＢ
by Árpád Bényi, Kasso A. Okoudjou
目次情報:
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Notions of real, functional and Fourier analysis
Modulation spaces
Equivalent definitions of modulation spaces
Pseudodifferential operators
Weighted modulation spaces
Modulation spaces and other function spaces
Applications to partial differential equations
A proof of Banach's fixed point theorem
The Picard-Lindelöf and Peano theorems
Gronwall's lemma
Local well-posedness of NLS on Sobolev spaces
Notions of real, functional and Fourier analysis
Modulation spaces
Equivalent definitions of modulation spaces
34.
ＥＢ
by Daniel Alpay, Fabrizio Colombo, Irene Sabadini
目次情報:
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Preliminaries
Quaternions and matrices
Slice hyperholomorphic functions
Rational functions
Operator models
Structure theorems for H(A;B) spaces
J-contractive functions
The characteristic operator function
L() spaces and linear fractional transformations
Canonical differential systems
Preliminaries
Quaternions and matrices
Slice hyperholomorphic functions
35.
ＥＢ
edited by Bo'az Klartag, Emanuel Milman
36.
ＥＢ
edited by Bo'az Klartag, Emanuel Milman
37.
ＥＢ
by Oleg Wilfer
出版情報:
Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2020
シリーズ名:
Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics ;
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オンライン:
https://doi.org/10.1007/978-3-658-30580-2
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Lagrange Duality for Multi-Composed Optimization Problems
Duality Results for Minmax Location Problems
Solving Minmax Location Problems via Epigraphical Projection
Numerical Experiments
Lagrange Duality for Multi-Composed Optimization Problems
Duality Results for Minmax Location Problems
Solving Minmax Location Problems via Epigraphical Projection
38.
ＥＢ
by Christian Voigt, Robert Yuncken
39.
ＥＢ
by Shigeo Kusuoka
目次情報:
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Chapter 1. Preparations from probability theory
Chapter 2. Martingale with discrete parameter
Chapter 3. Martingale with continuous parameter
Chapter 4. Stochastic integral
Chapter 5. Applications of stochastic integral
Chapter 6. Stochastic differential equation
Chapter 7. Application to finance
Chapter 8. Appendices
References
Chapter 1. Preparations from probability theory
Chapter 2. Martingale with discrete parameter
Chapter 3. Martingale with continuous parameter
40.
ＥＢ
by Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias, Reza Saadati
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Optimization and Its Applications ; 176
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-76047-2
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1. Elementary linear algebra review
2. Interpolating the arithmetic-geometric mean inequality and its operator version
3. Operator inequalities for positive linear maps
4. Operator inequalities involving operator monotone functions
5. Inequalities for sector matrices
6. Positive partial transpose matrix inequalities
References
Index
1. Elementary linear algebra review
2. Interpolating the arithmetic-geometric mean inequality and its operator version
3. Operator inequalities for positive linear maps
41.
ＥＢ
by Tujin Kim, Daomin Cao
目次情報:
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Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
The Non-steady Navier-Stokes System
The Steady Navier-Stokes System with Friction Boundary Conditions
The Non-steady Navier-Stokes System with Friction Boundary Conditions
The Steady Boussinesq System
The Non-steady Boussinesq System
The Steady Equations for Heat-conducting Fluids
The Non-steady Equations for Heat-conducting Fluids
Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
42.
ＥＢ
by Karen R. Strung ; edited by Francesc Perera
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名:
Advanced Courses in Mathematics - CRM Barcelona ;
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-47465-2
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Banach algebras and spectral theory
The Gelfand representation
C*-algebra basics
Positive elements
Positive linear functionals and representations
Weak and strong operator topologies and von Neumann algebras
Tensor products for C*-algebras
Completely positive maps
Inductive limits and approximately finite (AF) C*-algebras
Group C*-algebras and crossed products
Cuntz algebras
Quasidiagonal C*-algebras
K-theory for unital C*-algebras
Classification of AF-algebras
Nuclear dimension
Strongly self-absorbing algebras
The Jiang-Su algebra
Strict comparison and the Cuntz semigroup
The Classification Theorem and the Toms-Winter Theorem
Banach algebras and spectral theory
The Gelfand representation
C*-algebra basics
43.
ＥＢ
edited by Alessandro Michelangeli
目次情報:
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1. Iori, M. et al., Thermodynamic properties of ultracold Fermi gases across the BCS–BEC crossover and the Bertsch problem
2. Cacciapuoti, C., et al., Scattering theory for delta-potentials supported by locally deformed planes
3. Schmidt, J., The Massless Nelson Hamiltonian and its Domain
4. Borrelli, W. et al., A note on the Dirac operator with Kirchoff-type vertex conditions on metric graphs
5. Ourmières-Bonafos, T., Dirac operators and shell interactions: a survey
6. Lampart, J., Ultraviolet properties of a polaron model with point interactions and a number cutoff
7. Scandone, R., Zero modes and low-energy resolvent expansion for three dimensional Schrödinger operators with point interactions
8. Ottolini, A., Spectral properties of point interactions with fermionic symmetries
9. Akbas, H. and Teoman Turgut, O., Oppenheimer Type Approximation for a Simple Renormalizable System
10. Lotoreichik, V., Spectral isoperimetric inequality for the δ’-interaction on a contour
11. Pozzoli, E., Quantum confinement in Grushin-type manifolds
12. Gallone, M. et al., Kreın-Višik-Birman self-adjoint extension theory revisited
13. Khotyakov, M. and Michelangeli, A., Translation and adaptation from Russian of M. Sh. Birman On the theory of selfadjoint extensions of positive definite operators Math. Sb. 28 (1956), 431-450 (1956)
1. Iori, M. et al., Thermodynamic properties of ultracold Fermi gases across the BCS–BEC crossover and the Bertsch problem
2. Cacciapuoti, C., et al., Scattering theory for delta-potentials supported by locally deformed planes
3. Schmidt, J., The Massless Nelson Hamiltonian and its Domain
44.
ＥＢ
edited by Jan Awrejcewicz
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 364
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-77314-4
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On the spinning motion of a disc under the influence a gyrostatic moment (Gamiel)
Suppression of impact oscillations in a railway current collection system with an additional oscillatory system (Nishiyama)
On Qualitative Analysis of Lattice Dynamical System of Two- and Three-Dimensional Biopixels Array: Bifurcations and Transition to Chaos (Martsenyuk)
Response sensitivity of damper-connected adjacent structural systems subjected to fully non-stationary random excitations (Genovese)
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate (Zuyev)
Quaternion based free-floating space manipulator dynamics modeling using the dynamically equivalent manipulator approach (Jarzębowska)
Slosh analysis on a full car model with SDRE control and hydraulic damper (Balthazar)
A comparison of the common types of nonlinear energy sinks (Saeed)
Stability of three wheeled narrow vehicle (Weigel-Milleret)
Testing and analysis of vibrations of a tension transmission with a thermally sealed belt (Szymański)
Modeling and experimental tests on motion resistance of double-flange rollers of rubber track systems due to sliding friction between the rollers and guide lugs of rubber tracks (Chołodowski)
Structural dynamic response of the coupling between transmission lines and tower under random excitation (Machado)
Experimental assessment of the test station support structure rigidity by the vibration diagnostics method (Šmeringaiová)
Experimental dynamical analysis of a mechatronic analogy of the human circulatory system (Olejnik)
Robust design of inhibitory neuronal networks displaying rhythmic activity (Taylor)
Nonlinear dynamics of the industrial city's atmospheric ventilation: New differential equations model and chaos (Buyadzhi)
Biomechanical analysis of different foot morphology during standing on a dynamic support surface (Shu)
Comparison of various fractional order controllers on a poorly damped system (Birs)
Asymptotic analysis of submerged spring pendulum motion in liquid (Amer)
Parametric identification of non linear structures using Particle Swarm Optimization based on power flow balance criteria (Rajan)
Vibration and buckling of laminated plates of complex form under in-plane uniform and non-uniform loading (Linnik)
Dynamical systems and stability in fractional solid mechanics (Beda)
Stability of coupled systems of stochastic Cohen-Grossberg neural networks with time delays, impulses and Markovian switching (Tojtovska)
Stability of steady states with regular or chaotic behaviour in time (Mikhlin)
Modelling of torsional vibrations in a motorcycle steering system (Dębowski)
Free vibration frequencies of simply supported bars with variable cross section (Szlachetka)
On dynamics of a rigid block on visco-elastic foundation (Garziera)
On the spinning motion of a disc under the influence a gyrostatic moment (Gamiel)
Suppression of impact oscillations in a railway current collection system with an additional oscillatory system (Nishiyama)
On Qualitative Analysis of Lattice Dynamical System of Two- and Three-Dimensional Biopixels Array: Bifurcations and Transition to Chaos (Martsenyuk)
45.
ＥＢ
edited by Paolo Maria Mariano
目次情報:
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Numerical study of microstructures in multiwell problems in linear elasticity
Surface shear waves in a functionally graded half-space
Modeling of microstructures in a Cosserat continuum using relaxed energies - analytical and numerical aspects
The polar-isogeometric method for the simultaneous optimization of shape and material properties of anisotropic shell structures
Gradient polyconvexity and modeling of shape memory alloys
Placement of an obstacle for optimizing the fundamental eigenvalue of divergence form elliptic operators
Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications
Optimal feedback for structures controlled by hydraulic semi-active dampers
Multi-displacement requirement in a topology optimization algorithm based on non-uniform rational basis spline hyper-surfaces
Anti-plane shear in hyperelasticity
Identification of diffusion properties of polymer-matrix composite materials with complex texture
Numerical study of microstructures in multiwell problems in linear elasticity
Surface shear waves in a functionally graded half-space
Modeling of microstructures in a Cosserat continuum using relaxed energies - analytical and numerical aspects
46.
ＥＢ
by Svetlin G. Georgiev
47.
ＥＢ
edited by Matthew Hirn, Shidong Li, Kasso A. Okoudjou, Sandra Saliani, Özgür Yilmaz
目次情報:
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John Benedetto's mathematical work
Absolute continuity and the Banach-Zaretsky Theorem
Spectral Synthesis and H1(R)
Universal Upper Bound on the Blowup Rate of Nonlinear Schrodinger Equation with Rotation
Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators
Spatio-spectral limiting on rendundant cubes: A case study
A notion of optimal packings of subspaces with mix-rank and solutions
Construction of Frames Using Calderon-Zygmund Operator Theory
Equiangular frames and their duals
Wavelet sets for crystallographic groups
Discrete Translates in Function Spaces
Local-to-global frames and applications to the dynamical sampling problem
Signal analysis using Born-Jordan-type Distributions
Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs
Dynamical Sampling: a view from Control Theory
Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators
Sparsity-Based MIMO Radars
Robust width: A Characterization of uniformly stable and robust compressed sensing
On best uniform affine approximants of convex or concave real valued functions from RK, Chebyshev equioscillation and graphics
A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations
Maximal function pooling with applications
John Benedetto's mathematical work
Absolute continuity and the Banach-Zaretsky Theorem
Spectral Synthesis and H1(R)
48.
ＥＢ
by Bruno de Malafosse, Eberhard Malkowsky, Vladimir Rakočević
目次情報:
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1. Introduction
2. Matrix Domains
3. Operators between Matrix Domains
4. Statistical Convergence
5. Inclusion Equations
6. Sequence Space Equations
7. Solvability
1. Introduction
2. Matrix Domains
3. Operators between Matrix Domains
49.
ＥＢ
edited by Yeol Je Cho, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro
目次情報:
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The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
Convergence theorems and convergence rates for the general inertial Krasnosel’skiˇ–Mann algorithm
Digital space type fixed point theory and its applications
Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(κ) Spaces
Solution of system of integral equations in product spaces via concept of measures of noncompactness
Fixed points that are zeros of a given function
A survey on best proximity point theory in reflexive and Busemann convex spaces
The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
50.
ＥＢ
edited by Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà
目次情報:
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Foreword
Editorial
Comparison of Clark measures in several complex variables
On spectrum of a class of Jacobi matrices on graph-trees and multiple orthogonal polynomials
Geometric properties of reproducing kernels in Hilbert spaces of entire functions
A new life of the classical Szegö formula
De Branges canonical systems with finite logarithmic integral
Rate of convergence of critical interfaces to SLE curves
Toeplitz and Hankel operators on Bergman spaces
Bounds for zeta and primes via Fourier analysis
On zeros of solutions of a linear differential equation
Extended abstract on Riesz bases of exponentials for convex polytopes with symmetric faces
Remez-type inequalities and their applications
Shift-Invariant Spaces of Entire Functions
Describing Blaschke products by their critical points
Two problems on homogenization in geometry
Toeplitz operators between distinct abstract Hardy spaces
Polynomial Hermite–Padé m-system and reconstruction of the values of algebraic functions
Quantitative Szegö minimum problem for some non-Szegö measures
Hausdorff dimension exceptional set estimates for projections, sections and intersections
Generic boundary behaviour of Taylor series in Banach spaces of holomorphic functions
Szegö-type ASD for “multiplicative Toeplitz” operators
Around Uncertainty Principle
Inner functions, completeness and spectra
Schmidt subspaces of Hankel operators
Maximum principle and comparison of singular numbers for composition operators
Canonical systems in classes of compact operators
S-Contours and Convergent Interpolation
Special Conformal Mappings and Extremal Problems
Foreword
Editorial
Comparison of Clark measures in several complex variables
51.
ＥＢ
by I. V. Denisova, V. A. Solonnikov
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名:
Lecture Notes in Mathematical Fluid Mechanics ;
子書誌情報:
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https://doi.org/10.1007/978-3-030-70053-9
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Introduction
A Model Problem with Plane Interface and with Positive Surface Tension Coefficient
The Model Problem Without Surface Tension Forces
A Linear Problem with Closed Interface Under Nonnegative Surface Tension
Local Solvability of the Problem in Weighted Hölder Spaces
Global Solvability in the Hölder Spaces for the Nonlinear Problem without Surface Tension
Global Solvability of the Problem Including Capillary Forces. Case of the Hölder Spaces
Thermocapillary Convection Problem
Motion of Two Fluids in the Oberbeck - Boussinesq Approximation
Local L2-solvability of the Problem with Nonnegative Coefficient of Surface Tension
Global L2-solvability of the Problem without Surface Tension
L2-Theory for Two-Phase Capillary Fluid
Introduction
A Model Problem with Plane Interface and with Positive Surface Tension Coefficient
The Model Problem Without Surface Tension Forces
52.
ＥＢ
by Christophe Cheverry, Nicolas Raymond
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名:
Birkhäuser Advanced Texts Basler Lehrbücher ;
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https://doi.org/10.1007/978-3-030-67462-5
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Foreword
Prolegomena
Chapter 1: A First Look at Spectral Theory
Chapter 2: Unbounded Operators
Chapter 3: Spectrum
Chapter 4: Compact Operators
Chapter 5: Fredholm Theory
Chapter 6:Spectrum of Self-Adjoint Operators
Chapter 7: Hille-Yosida and Stone’s Theorems
Chapter 8: About the Spectral Measure
Chapter 9: Trace-class and Hilbert-Schmidt Operators
Chapter 10: Selected Applications of the Functional Calculus
Appendix A: Reminders of Functional Analysis
Bibliography
Index
Foreword
Prolegomena
Chapter 1: A First Look at Spectral Theory
53.
ＥＢ
edited by Paolo Ciatti, Alessio Martini
54.
ＥＢ
edited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 358
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-76829-4
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On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics
Hierarchical Schrödinger type operators: the case of locally bounded potentials
Symmetric Integrals and the Pathwise-Determined Maximum Principle
Lanchester Model with the Random Coefficients
Local time and local reflection of the Wiener process
Out-of-sample utility bounds for empirically optimal portfolios in a single-period investment problem
A Guaranteed Deterministic Approach to Superhedging: Optimal Mixed Strategies of the Market and their Supports
CVaR hedging in defaultable Jump-Diffusion markets
A model for the outbreak of COVID-19: Vaccine effectiveness in a case study of Italy
Combinatorial IdentitiesWith Binomial Coefficients
Double-Barrier Option Pricing under the Hyper-Exponential Jump-Diffusion Model
A probabilistic interpretation of conservation and balance laws
Random Tempered Distributions on Locally Compact Separable Abelian Groups
A conditional functional limit theorem for a decomposable branching process
Influence of the configuration of particle generation sources on the behavior of branching walks: a case study
Some Properties of Regularly Varying Functions and Series in the Orthant
On solutions of stochastic equations with current and osmotic velocities
A Simple Wiener-Hopf Factorization Approach for Pricing Double Barrier Options
Rate of convergence to the Poisson law of the numbers of cycles in the generalized random graphs
Single Jump Filtrations: Preservation of the Local Martingale Property with Respect to the Filtration Generated by the Local Martingale
New procedure for applying the Cramér-von Mises test for parametric families of distributions
Stochastic methods in investigation of modern networks
Random harmonic processes with new properties
On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics
Hierarchical Schrödinger type operators: the case of locally bounded potentials
Symmetric Integrals and the Pathwise-Determined Maximum Principle
55.
ＥＢ
by Iwona Chlebicka, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Aneta Wróblewska-Kamińska
目次情報:
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Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
Part II PDEs: 4. Weak Solutions
5. Renormalized Solutions
6. Homogenization of Elliptic Boundary Value Problems
7. Non-Newtonian Fluids
Part III Auxiliaries: 8. Basics
9. Functional Inequalities
References
List of Symbols
Index
Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
56.
ＥＢ
edited by Daniel Alpay, Ronen Peretz, David Shoikhet, Mihaela B. Vajiac
目次情報:
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Editorial Introduction
On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions
Differential Subordinations in Harmonic Mappings
The Segal-Bargmann Transform in Clifford Analysis
On the Carathéodory-Fejér interpolation problem for Stieltjes functions
Harmonic Analysis of some arithmetical functions
Symmetric measures, continuous networks, and dynamics
Multi Variable Semicircular Processes From - Homomorphisms and Operators
Representation formulae for the determinant in a neighborhood of the identity
Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm
The Wiener algebra and singular integrals
Techniques to derive estimates for integral means and other geometric quantities related to conformal mappings
Complex Ternary Analysis and Applications
Editorial Introduction
On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions
Differential Subordinations in Harmonic Mappings
57.
ＥＢ
edited by Pradip Debnath, Nabanita Konwar, Stojan Radenović
目次情報:
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Binayak S. Choudhury and Nikhilesh Metiya: Basic Fixed Point Theorems in Metric Spaces
Anupam Das and Bipan Hazarika: Study of Fixed Point Theorem and in Finite Systems of Integral Equations
N. Konwar: Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces
Tayebe Laal Shateri and Ozgur Ege: Modular Spaces and Fixed Points of Generalized Contractions
Nesrin Manav: Generalized Modular Metric Spaces
Fatemeh Lael and Naeem Saleem: Fixed Point Theorems on Modular Spaces
Mahpeyker Ozturk and Ekber Girgin: On Some Fixed Point Results in Various Type of Modular Metric Spaces
Yumnam Mahendra Singh and Mohammad Saeed Khan: On Parametric (b, θ)-Metric Space and Some Fxed Point Theorems
Lateef Olakunle Jolaoso: Some Extragradient Methods for Solving Variational Inequalities using Bregman Projection and Fixed Point Techniques in Reflexive Banach Spaces
Hasanen A. Hammad: Common Solutions to Variational Inequality Problem via Parallel and Cyclic Hybrid Inertial CQ-Subgradient Extragradient Algorithms in (HSs)
Savin Treanµ: On a New Class of Interval-Valued Variational Control Problems
Huseyin Isik, Amjad Ali, Fahim Uddin, Awais Asif and Muhammad Arshad: Best Proximity Points for Multivalued Mappings Satisfying Zσ-Proximal Contractions with Applications
Naeem Saleem: Coincidence Best Proximity Point Results via wp-Distance with Applications
Sudesh Kumari, Ashish Nandal and Renu Chugh: Application of Fixed Point Iterative Methods to Construct Fractals and Anti-Fractals
Rajendra Pant, Rahul Shukla and Prashant Patel: Nonexpansive Mappings, Their Extensions and Generalizations in Banach Spaces
Pradip Debnath: A Mathematical Model using Fxed Point Theorem for Two-Choice Behavior of Rhesus Monkeys in a Noncontingent Environment
Binayak S. Choudhury and Nikhilesh Metiya: Basic Fixed Point Theorems in Metric Spaces
Anupam Das and Bipan Hazarika: Study of Fixed Point Theorem and in Finite Systems of Integral Equations
N. Konwar: Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces
58.
ＥＢ
by Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 72
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オンライン:
https://doi.org/10.1007/978-3-030-78007-4
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Part I Basic Theory in M-Polyfolds
1 Sc-Calculus
2 Retracts
3 Basic Sc-Fredholm Theory
4 Manifolds and Strong Retracts
5 Fredholm Package for M-Polyfolds
6 Orientations
Part II Ep-Groupoids
7 Ep-Groupoids
8 Bundles and Covering Functors
9 Branched Ep+-Subgroupoids
10 Equivalences and Localization
11 Geometry up to Equivalences
Part III Fredholm Theory in Ep-Groupoids
12 Sc-Fredholm Sections
13 Sc+-Multisections
14 Extensions of Sc+-Multisections
15 Transversality and Invariants
16 Polyfolds
Part IV Fredholm Theory in Groupoidal Categories
17 Polyfold Theory for Categories
18 Fredholm Theory in Polyfolds
19 General Constructions
A Construction Cheatsheet
References
Index
Part I Basic Theory in M-Polyfolds
1 Sc-Calculus
2 Retracts
59.
ＥＢ
edited by Eder Kikianty, Mokhwetha Mabula, Miek Messerschmidt, Jan Harm van der Walt, Marten Wortel
目次情報:
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Preface
Dedication
Coenraad Christoffel Andries Labuschagne
Inverse monotonicity of elliptic operators invariational form
On compact operators between lattice normed spaces
How to be positive in natural sciences?
Real positive maps and conditional expectations on operator algebras
Free vector lattices and free vector lattice algebras
On disjointness, bands and projections in partially ordered vector spaces
101 years of vector lattice theory - a vector lattice-valued Daniell integral
Ergodicity in Riesz spaces
Multiplicative representation of real-valued bi-Riesz homomorphisms on partially ordered vector spaces
Orthogonality: An antidote to Kadison's antilattice theorem
Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot
On fixed point theory in partially ordered (quasi-)metric spaces and an application to complexity analysis of algorithms
Inheritance properties of positive cones induced by subalgebras and quotients of ordered Banach algebras
Universally complete spaces of continuous functions
Applications of generalized B -algebras to quantum mechanics
Preface
Dedication
Coenraad Christoffel Andries Labuschagne
60.
ＥＢ
edited by Massimo Cicognani, Daniele Del Santo, Alberto Parmeggiani, Michael Reissig
目次情報:
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Ascanelli, A. and Cappiello, M., Semilinear p-evolution equations in weighted Sobolev spaces
Ascanelli, A. et al., Random-field Solutions of Linear Parabolic Stochastic Partial Dierential Equations with Polynomially Bounded Variable Coefficients
Brauer, U. and Karp, l., The non–isentropic Einstein–Euler system written in a symmetric hyperbolicfor
Chen, W. and Palmieri, A., Blow–up result for a semilinear wave equation with a non linear memory term
Ciani, S. and Vespri, V., An Introduction to Barenblatt Solutions for Anisotropic p-Laplace Equation
Colombini, F. et al., No loss of derivatives for hyperbolic operators with Zygmund-continuous coecients in time
Cordero, E., Note on the Wigner distribution and Localization Operators in the quasi-Banach setting
Corli, A. and Malaguti, E., Wavefronts in traffic flows and crowds dynamics
D’Abbicco, M., A new critical exponent for the heat and damped wave equations with non linear memory and not integrable data
Anh Dao, T. and Michael. R., Blow-up results for semi-linear structurally damped σ-evolution equation
Rempel Ebert, M. and Marques, J. Critical exponent for a class of semi linear damped wave equations with decaying in time propagation speed
Federico, S., Local solvability of some partial differential operators with non-smooth coefficients
G. Feichtinger, A. et al., On exceptional times for point wise convergence of integral kernels in Feynman-Trotter path integral
Girardi, G. and Wirth, J., Decay estimates for a Klein–Gordon model with time-periodic coefficients
Thieu Huy, N., Conditional Stability of Semigroups and Periodic Solutions to Evolution Equations
Oberguggenberger, M., Anomalous solutions to non linear hyperbolic equations
Rodino, L., and Trapasso, S.I., An introduction to the Gabor wave front set
Sickel, W., On the Regularity of Characteristic Functions
Yagdjian, K. et al., Small Data Wave Maps in Cyclic Spacetime
Ascanelli, A. and Cappiello, M., Semilinear p-evolution equations in weighted Sobolev spaces
Ascanelli, A. et al., Random-field Solutions of Linear Parabolic Stochastic Partial Dierential Equations with Polynomially Bounded Variable Coefficients
Brauer, U. and Karp, l., The non–isentropic Einstein–Euler system written in a symmetric hyperbolicfor
61.
ＥＢ
by Alexandre Ern, Jean-Luc Guermond
目次情報:
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Part I: Elements of Functional Analysis
Lebesgue spaces
Weak derivatives and Sobolev spaces
Traces and Poincaré Inequalities
Duality in Sobolev spaces
Part II: Introduction to Finite Elements
Main ideas and definitions
One-dimensional finite elements and tensorization
Simplicial finite elements
Part III: Finite element interpolation
Meshes
Finite element generation
Mesh orientation
Local interpolation on affine meshes
Local inverse and functional inequalities
Local interpolation on non-affine meshes
H(div) finite elements
H(curl) finite elements
Local interpolation in H(div) and H(curl) (I)
Local interpolation in H(div) and H(curl) (II)
Part IV: Finite element spaces
From broken to conforming spaces
Main properties of the conforming spaces
Face gluing
Construction of the connectivity classes
Quasi-interpolation and best approximation
Commuting quasi-interpolation
Appendices
Banach and Hillbert spaces
Differential calculus
Part I: Elements of Functional Analysis
Lebesgue spaces
Weak derivatives and Sobolev spaces
62.
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edited by Vincenzo Ferone, Tatsuki Kawakami, Paolo Salani, Futoshi Takahashi
63.
ＥＢ
by Nicolas Bouleau
目次情報:
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I. Error computations à la Gauss
1. The different approaches
2. Finite dimensional examples
3. An intuitive introduction to error structures
4. Weakly and strongly random errors
II. Probabilistic and Functional Models
5. Strongly continuous semi-groups and Dirichlet forms
6. Error structures
7. Images and products of error structures
8. The gradient and the sharp and other calculation tools
9. Error structures on fundamental spaces
III. The subtleness of the notion of bias
10. Approximation and bias operators
11. Computations and simulation methods
IV. Error structures and its applications
12. Statistical identification of error structures
13. The instantaneous structure of a stochastic process
14. Models inspired by finance
15. Examples in Physics
16. The principle of arbitrary functions and error structures
V. Historical elements and research themes
17. Error calculations from Gauss and Laplace
18. Extensions and open questions
Hints for exercises
Pedagogical References
Chronological Bibliography
I. Error computations à la Gauss
1. The different approaches
2. Finite dimensional examples
64.
ＥＢ
by Noè Angelo Caruso, Alessandro Michelangeli
目次情報:
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Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
Krylov solvability of unbounded inverse problems
Krylov solvability in a perturbative framework
Outlook on general projection methods and weaker convergence
References
Index
Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
65.
ＥＢ
edited by M. Amélia Bastos, Luís Castro, Alexei Yu. Karlovich
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名:
Operator Theory: Advances and Applications ; 282
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https://doi.org/10.1007/978-3-030-51945-2
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Extended Heinz and Jensen type inequalities and rearrangements
On some applications of representable functionals of a Banach quasi *-algebra
Minimality properties of Sturm-Liouville problems with increasing affine boundary conditions
Scattering, spectrum and resonance states completeness for quantum graph with Rashba Hamiltonian
Tau functions associated with linear systems
Groups of orthogonal matrices all orbits of which generate lattices
Invertibility issues for Toeplitz plus Hankel operators and their close relatives
K-inner functions and K-contractions
Tight and cover-to-join representations of semilattices and inverse semigroups
Calkin images of Fourier convolution operators with slowly oscillating symbols
Inner outer factorization of wide rational matrix valued functions on the half plane
Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data
A closer look at Bishop operators
Products of unbounded Bloch functions
Birkhoff-James orthogonality and applications: a survey
The generalized ∂-complex on the Segal Bargmann space
The inverse characteristic polynomial problem for trees
A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels, II
A note on group representations, determinantal hypersurfaces and their quantizations
Algebras generated by Toeplitz Operators on the unit sphere II: Non commutative case
d-modified Riesz potentials on central Campanato spaces
On some consequences of the solvability of the Caffarelli-Silvestre extension problem
Time-dependent approach to the uniqueness of the Sommerfeld solution of the diffraction problem by a half-plane
On the operator Jensen-Mercer inequality
A numerical approach for approximating variable-order fractional integral operator
Langlands reciprocity for C*-algebras
Compact sequences in quasifractal algebras
Dilation theory: a guided tour
Riesz-Fischer maps, Semi-frames and Frames in rigged Hilbert spaces
Periodic coherent states decomposition and quantum dynamics on the flat torus
Extended Heinz and Jensen type inequalities and rearrangements
On some applications of representable functionals of a Banach quasi *-algebra
Minimality properties of Sturm-Liouville problems with increasing affine boundary conditions
66.
ＥＢ
edited by Shigeaki Koike, Hideo Kozono, Takayoshi Ogawa, Shigeru Sakaguchi
出版情報:
Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 346
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https://doi.org/10.1007/978-981-33-4822-6
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R. Denk, An Introduction To Maximal Regularity For Parabolic Evolution Equations
Y. Kagei, On stability and bifurcation in parallel flows of compressible Navier-Stokes equations
J. Fan and T. Ozawa, Uniform regularity for a compressible Gross-Pitaevskii-Navier-Stokes system
T. Ogawa, Singular Limit Problem to the Keller-Segel System in Critical Spaces and Related Medical Problems ̶ An Application of Maximal Regularity
A. Swiech, HJB Equation, Dynamic Programming Principle, and Stochastic Optimal Control
S. Koike, Regularity of solutions of obstacle problems – old & new
A. Enciso, D. Peralta-Salas and F. Torres De Lizaur, High-Energy Eigenfunctions of the Laplacian on the Torus and The Sphere with Nodal Sets of Complicated Topology
R. Denk, An Introduction To Maximal Regularity For Parabolic Evolution Equations
Y. Kagei, On stability and bifurcation in parallel flows of compressible Navier-Stokes equations
J. Fan and T. Ozawa, Uniform regularity for a compressible Gross-Pitaevskii-Navier-Stokes system
67.
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by Raymond Mortini, Rudolf Rupp
目次情報:
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Part I. Topological structures and Banach algebras
Part II. Algebraic structures
Part III. The Appendix
Bibliography
Index
Part I. Topological structures and Banach algebras
Part II. Algebraic structures
Part III. The Appendix
68.
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by Alexandre Ern, Jean-Luc Guermond
目次情報:
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Part V: Weak formulations and well-posedness
Weak formulation of model problems
Main results on well-posedness
Part VI: Galerkin approximation
Basic error analysis
Error analysis with variational crimes
Linear algebra
Sparse matrices
Quadratures
Part VII: Elliptic PDEs: conforming approximation
Scalar second-order elliptic PDEs
H1-conforming approximation (I)
H1-conforming approximation (II)
A posteriori error analysis
The Helmholtz problem
Part VIII: Elliptic PDEs: nonconforming approximation
Crouzeix-Raviart approximation
Nitsche's boundary penalty method
Discontinuous Galerkin
Hybrid high-order methods
Contrasted diffusivity (I)
Contrasted diffusivity (II)
Part IX: Vector-valued elliptic PDEs
Linear elasticity
Maxwell's equations: H(curl)-approximation
Maxwell's equations: control on the divergence
Maxwell's equations: further topics
Part X: Eigenvalue problems
Symmetric elliptic eigenvalue problems
Symmetric operators, conforming approximation
Nonsymmetric problems
Part XI: PDEs in mixed form
Well-posedness for PDEs in mixed form
Mixed finite element approximation
Darcy's equations
Potential and flux recovery
Stokes equations: Basic ideas
Stokes equations: Stable Pairs (I)
Stokes equations: Stable pairs (II)
Appendices
Bijective operators in Banach spaces
Part V: Weak formulations and well-posedness
Weak formulation of model problems
Main results on well-posedness
69.
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by Atsushi Yagi
目次情報:
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Preliminaries
Review of Abstract Results
Parabolic Equations
Epitaxial Growth Model
Chemotaxis Model
Preliminaries
Review of Abstract Results
Parabolic Equations
70.
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by Vyacheslav V. Chistyakov
目次情報:
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Dedication
Preface
Acronyms
1.Introduction
2.The approximate variation and its properties
3. Examples of approximate variations
4. Pointwise selection principles
References
Index
Dedication
Preface
Acronyms
71.
ＥＢ
by Luciano Pandolfi
目次情報:
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Introduction
Preliminary Considerations and Examples
Operators and Semigroups for Systems with Boundary Inputs
The Heat Equation with Memory and its Controllability
The Wave Equation with Memory and its Controllability
The Stability of the Wave Equation with Persistent Memory
Dynamical Algorithms for Identification Problems
Final Miscellaneous Problems
Introduction
Preliminary Considerations and Examples
Operators and Semigroups for Systems with Boundary Inputs
72.
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by Celso Melchiades Doria
目次情報:
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Introduction
Chapter 1. Differentiation in R^n
Chapter 2. Linear Operators in Banach Spaces
Chapter 3. Differentiation in Banach Spaces
Chapter 4. Vector Fields
Chapter 5. Vectors Integration, Potential Theory
Chapter 6. Differential Forms, Stoke’s Theorem
Chapter 7. Applications to the Stoke’s Theorem
Appendix A. Basics of Analysis
Appendix B. Differentiable Manifolds, Lie Groups
Appendix C. Tensor Algebra
Bibliography
Index
Introduction
Chapter 1. Differentiation in R^n
Chapter 2. Linear Operators in Banach Spaces
73.
ＥＢ
by Cornelia Schneider
74.
ＥＢ
by Atsushi Yagi
目次情報:
1.Preliminary
2.Asymptotic Convergence
3.Extended Łojasiewicz–Simon Gradient Inequality
1.Preliminary
2.Asymptotic Convergence
3.Extended Łojasiewicz–Simon Gradient Inequality
75.
ＥＢ
by Toshio Mikami
目次情報:
Chapter 1. Introduction
Chapter 2. Stochastic optimal transportation problem
Chapter 3. Marginal problem
Chapter 1. Introduction
Chapter 2. Stochastic optimal transportation problem
Chapter 3. Marginal problem
76.
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by Atsushi Inoue
77.
ＥＢ
by Alexandre Ern, Jean-Luc Guermond
目次情報:
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Part XII: First-order PDEs
Friedrichs' systems
Residual-based stabilization
Fluctuation-based stabilization (I)
Fluctuation-based stabilization (II)
Discontinuous Galerkin
Advection-diffusion
Stokes equations: Residual-based stabilization-. Stokes equations: other stabilizations
Part XIII: Parabolic PDEs
Bochner integration
Weak integration and well-posedness
Semi-discretization in space
Implicit and explicit Euler schemes
BDF2 and Crank-Nicolson schemes
Discontinuous Galerkin in time
Continuous Petrov-Galerkin in time
Analysis using inf-sup stability
Part XIV: Time-dependent Stokes equations
Weak formulations and well-posedness
Monolithic time discretization
Projection methods
Artificial compressibility
Part XV: Time-dependent first-order linear PDEs
Well-posedness and space semi-discretization
Implicit time discretization
Explicit time discretization
Part XVI: Nonlinear hyperbolic PDEs
Scalar conservation equations
Hyperbolic systems
First-order approximation
Higher-order approximation
Higher-order approximation and limiting
Part XII: First-order PDEs
Friedrichs' systems
Residual-based stabilization
78.
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by Tuncay Aktosun, Ricardo Weder
目次情報:
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The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
Inverse scattering
Some explicit examples
Mathematical preliminaries
The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
79.
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edited by Anatoly G. Kusraev, Zhanna D. Totieva
目次情報:
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Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions
On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions
The Conditions of Global Boundedness for the Solutions of Continuous Social Stratification Model
Stochastic Test of a Minimal Surface
On Isomorphism of Some Functional Spaces under Action of Two Dimensional Singular Integral Operators
On One Class of Solutions of The Darboux System
Boolean Valued Analysis: Background And Results
Approximation Properties of Vallee Poussin Means For Special Series of Ultraspherical Jacobi
Laplace’s Integrals And Stability of The Open Flows of in Viscid Incompressible Fluid
Spectral Properties of Killing Vector Fields of Constant Length And Bounded Killing Vector Fields
The Radon-Nikodym Theorem for Disjointness ´Preserving Orthogonally Additive Operators
On Continuous Linear Right Inverse To Convolution Operator
Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid
The convergence of the Fourier – Jacobi series in weighted variable exponent Lebesgue spaces
Hyperbolic B-potentials: Properties and Inversion
Some Properties of Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the Second Kind
Structure of Essential Spectrum and Discrete Spectra of The Energy Operator of Five-Electron Systems In The Hubbard Model. Doublet States
On Coefficient Inverse Problems of Heat Conduction for Functionally Graded Materials
Investigation Of Waves Processes In Inhomogeneous Cylindrical Waveguides
Solution Of Some Class First-Order Quasilinear Partial Differential Equations
Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions
80.
ＥＢ
by Matej Brešar
81.
ＥＢ
by George Dinca, Jean Mawhin
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名:
Progress in Nonlinear Differential Equations and Their Applications ; 95
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https://doi.org/10.1007/978-3-030-63230-4
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The Kronecker Index and the Brouwer Degree
Continuation, Existence, and Bifurcation
Infinite-Dimensional Problems
Difference Equations
Periodic Solutions of Differential Systems
Two-Dimensional Problems
The Degree of Some Classes of Mappings
History of Brouwer Fixed Point Theorem
The Kronecker Index and the Brouwer Degree
Continuation, Existence, and Bifurcation
Infinite-Dimensional Problems
82.
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by Matthias Keller, Daniel Lenz, Radosław K. Wojciechowski
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 358
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-81459-5
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Part 0 Prelude
Chapter 0 Finite Graphs
Part 1 Foundations and Fundamental Topics
Chapter 1 Infinite Graphs – Key Concepts
Chapter 2 Infinite Graphs – Toolbox
Chapter 3 Markov Uniqueness and Essential Self-Adjointness
Chapter 4 Agmon–Allegretto–Piepenbrink and Persson Theorems
Chapter 5 Large Time Behavior of the Heat Kernel
Chapter 6 Recurrence
Chapter 7 Stochastic Completeness
Part 2 Classes of Graphs
Chapter 8 Uniformly Positive Measure
Chapter 9 Weak Spherical Symmetry
Chapter 10 Sparseness and Isoperimetric Inequalities
Part 3 Geometry and Intrinsic Metrics
Chapter 11 Intrinsic Metrics: Definition and Basic Facts
Chapter 12 Harmonic Functions and Caccioppoli Theory
Chapter 13 Spectral Bounds
Chapter 14 Volume Growth Criterion for Stochastic Completeness and Uniqueness Class
Appendix A The Spectral Theorem
Appendix B Closed Forms on Hilbert Spaces
Appendix C Dirichlet Forms and Beurling–Deny Criteria
Appendix D Semigroups, Resolvents and their Generators
Appendix E Aspects of Operator Theory
References
Index
Notation Index
Part 0 Prelude
Chapter 0 Finite Graphs
Part 1 Foundations and Fundamental Topics
83.
ＥＢ
by Michel Talagrand
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 60
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-82595-9
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1. What is This Book About? Part I The Generic Chaining
2 Gaussian Processes and the Generic Chaining
3 Trees and Other Measures of Size
4 Matching Theorems
Part II Some Dreams Come True
5 Warming Up with p-Stable Processes
6 Bernoulli Processes
7 Random Fourier Series and Trigonometric Sums
8 Partitioning Scheme and Families of Distances
9 Peaky Part of Functions
10 Proof of the Bernoulli Conjecture
11 Random Series of Functions
12 Infinitely Divisible Processes
13 Unfulfilled Dreams
Part III Practicing
14 Empirical Processes, II
15 Gaussian Chaos
16 Convergence of Orthogonal Series; Majorizing Measures
17 Shor's Matching Theorem
18 The Ultimate Matching Theorem in Dimension Three
19 Application to Banach Space Theory
A Discrepancy for Convex Sets
B Some Deterministic Arguments
C Classical View of Infinitely Divisible Processes
D Reading Suggestions
E Research Directions
F Solutions of Selected Exercises
G Comparison with the First Edition
References
Index
1. What is This Book About? Part I The Generic Chaining
2 Gaussian Processes and the Generic Chaining
3 Trees and Other Measures of Size
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