1.
ＥＢ
edited by Christopher Heil
2.
ＥＢ
edited by Steven G. Krantz
3.
ＥＢ
edited by Joseph Bernstein, Vladimir Hinich, Anna Melnikov
4.
ＥＢ
by Alexey Pavlov, Nathan Wouw, Henk Nijmeijer
5.
ＥＢ
edited by Brigitte Forster, Peter Massopust
6.
ＥＢ
edited by Julien Barral, Stéphane Seuret
7.
ＥＢ
by Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
8.
ＥＢ
by Christopher Heil
9.
ＥＢ
edited by Irene Sabadini, Frank Sommen
10.
ＥＢ
edited by Jonathan Cohen, Ahmed I. Zayed
11.
ＥＢ
by M. W. Wong
12.
ＥＢ
by Antoine Derighetti
13.
ＥＢ
by Ole Christensen, Khadija L. Christensen
目次情報:
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Preface
Approximation with Polynomials
Infinite Series
Fourier Analysis
Wavelets and Applications
Wavelets and their Mathematical Properties
Appendix A
Appendix B
References
Index
Preface
Approximation with Polynomials
Infinite Series
14.
ＥＢ
edited by Carlos Cabrelli, Jose Luis Torrea
15.
ＥＢ
by Gregory S. Chirikjian
16.
ＥＢ
by Steven G.G. Krantz ; edited by John J. Benedetto
17.
ＥＢ
by Loukas Grafakos
18.
ＥＢ
by Loukas Grafakos
19.
ＥＢ
by Anton Deitmar, Siegfried Echterhoff
20.
ＥＢ
by Béla Sz.-Nagy, Ciprian Foias, Hari Bercovici, László Kérchy
21.
ＥＢ
by Jeffrey A. Hogan, Joseph D. Lakey
22.
ＥＢ
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Smooth Interpolation of Data by Efficient Algorithms
An Overview of Time and Multiband Limiting
A Panorama of Sampling Theory
Part II Remote Sensing
Multistatic Radar Waveforms for Imaging of Moving Targets
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer
An Introduction to Hyperspectral Image Data Modeling
Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers
Theory of Passive Synthetic Aperture Imaging
Part III Mathematics of Data Processing
Golay-Rudin-Shapiro Polynomials and Phased Arrays
Multi-Resolution Geometric Analysis for Data in High Dimensions
On the Fourth-Order Structure Function of a Fractal
Harmonic Analysis of Databases and Matrices
The Structure of Sidelobe-Preserving Operator Groups
Zeros of some Self-Reciprocal Polynomials
Part IV Applications of Data Processing
Generalized Mutual Interdependence Analysis of Noisy Channels
Approximation Methods for the Recovery of Shapes and Images from Gradients
FM Perturbations due to Near-Identity Linear Systems
Eddy Current Sensor Signal Processing for Stall Detection
State Dependent Channels: Strong Converse and Bounds on Reliability Function
Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
23.
ＥＢ
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density
Positive Operator-Valued Measures: A General Setting for Frames
Part VI Filtering
Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces
On the Group-Theoretic Structure of Lifted Filter Banks
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
On the Convergence of Iterative Filtering Empirical Mode Decomposition
Wavelet Transforms by Nearest Neighbor Lifting
Part VII Operator Theory
On the Heat Kernel of a Left Invariant Elliptic Operator
Mixed-Norm Estimates for the k-Plane Transform
Representation of Linear Operators by Gabor Multipliers
Extensions of Berezin-Lieb Inequalities
Bilinear Calderon-Zygmund Operators
Weighted Inequalities and Dyadic Harmonic Analysis
Part VIII Biomathematics
Enhancement and Recovery in Atomic Force Micosopy Images
Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group
Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular
Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)
Fourier Blues: Structural Coloration of Biological Tissues
A Harmonic Analysis View On Neuroscience Imaging
Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
24.
ＥＢ
by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
目次情報:
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Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi-Metric Spaces
Non-Locally Convex Functional Analysis
Functional Analysis on Quasi-Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
25.
ＥＢ
edited by Julien Barral, Stéphane Seuret
目次情報:
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The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields.
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
26.
ＥＢ
edited by Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick
27.
ＥＢ
by Colin C. Graham, Kathryn E. Hare
目次情報:
続きを見る
Preface
Introduction
Hadamard Sets
$\epsilon$-Kronecker sets
Sidon sets: Introduction and decomposition properties
Characterizations of $I_0$ sets
Proportional characterizations of Sidon sets
Decompositions of $I_0$ sets
Sizes of thin sets
Sets of zero discrete harmonic density
Related results.-Open problems
Appendices (Groups, Probability, Combinatoric results,...)
Bibliography
Author index
Subject index
Index of notation
Preface
Introduction
Hadamard Sets
28.
ＥＢ
by Yves Nievergelt
目次情報:
続きを見る
Preface
Outline
A. Algorithms for Wavelet Transforms
Haar's Simple Wavelets
Multidimensional Wavelets and Applications
Algorithms for Daubechies Wavelets
B. Basic Fourier Analysis
Inner Products and Orthogonal Projections
Discrete and Fast Fourier Transforms
Fourier Series for Periodic Functions
C. Computation and Design of Wavelets
Fourier Transforms on the Line and in Space
Daubechies Wavelets Design
Signal Representations with Wavelets. D. Directories
Acknowledgements
Collection of Symbols
Bibliography
Index.
Preface
Outline
A. Algorithms for Wavelet Transforms
29.
ＥＢ
edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck
30.
ＥＢ
by David V. Cruz-Uribe, Alberto Fiorenza
目次情報:
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1 Introduction
2 Structure of Variable Lebesgue Spaces
3 The Hardy-Littlewood Maximal Operator.- 4 Beyond Log-Hölder Continuity
5 Extrapolation in the Variable Lebesgue Spaces
6 Basic Properties of Variable Sobolev Spaces
Appendix: Open Problems
Bibliography
Symbol Index
Author Index
Subject Index.
1 Introduction
2 Structure of Variable Lebesgue Spaces
3 The Hardy-Littlewood Maximal Operator.- 4 Beyond Log-Hölder Continuity
31.
ＥＢ
by Willi Freeden, Martin Gutting
目次情報:
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1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
3 Orthogonal Polynomials
Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3
5 Vectorial Spherical Harmonics in R^3
6 Spherical Harmonics in R^q
7 Classical Bessel Functions
8 Bessel Functions in R^q
Part III: Periodically Oriented Functions
9 Lattice Functions in R
10 Lattice Functions in R^q
11 Concluding Remarks
References
Index
1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
32.
ＥＢ
by Valery V. Volchkov, Vitaly V. Volchkov
目次情報:
続きを見る
Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces
5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry
1 Functions with zero ball means on Euclidean space
2 Two-radii theorems in symmetric spaces
3 The problem of finding a function from its ball means
4 Sets with the Pompeiu property
5 Functions with zero integrals over polytopes.-6 Ellipsoidal means
7 The Pompeiu property on a sphere
8 The Pompeiu transform on symmetric spaces and groups.-9 Pompeiu transforms on manifolds
Bibliography
Index
Basic notation
Preface
Part 1. Analysis on Symmetric Spaces. 1 Preliminaries
2 The Euclidean case
33.
ＥＢ
edited by Michael Ruzhansky, Ville Turunen
目次情報:
Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
34.
ＥＢ
by Anton Deitmar, Siegfried Echterhoff
目次情報:
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1. Haar Integration
2. Banach Algebras
3. Duality for Abelian Groups
4. The Structure of LCA-Groups
5. Operators on Hilbert Spaces
6. Representations
7. Compact Groups
8. Direct Integrals
9. The Selberg Trace Formula
10. The Heisenberg Group
11. SL2(R)
12. Wavelets
13. p-adic numbers and adeles
A. Topology
B. Measure and Integration
C: Functional Analysis
1. Haar Integration
2. Banach Algebras
3. Duality for Abelian Groups
35.
ＥＢ
edited by Radu Balan, Matthew J. Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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The Algebra of Elimination
Hodge-de Rahm Theory of K-Forms on Carpet Type Fractals
Biosequence Time-frequency Processing: Pathogen Detection and Identification
Wavelet-Shearlet Edge Detection and Thresholding Methods in 3D
Recursive Computation of Spherical Coefficients of Large Degree
Analyzing Fluid Flows via the Ergodicity Defect
the HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group
The abc-problem for Gabor Systems and Uniform Sampling in Shift-invariant spaces
On Various Levels of Linear Independence for Integer Translates of a Finite Number of Functions
Polyphase Golay Sequences with Semi-polyphase Fourier Transform and All-zero Crosscorrelation: Construction B
Reversible Jump Particle Filter for Wideband DOA Tracking
Advances in Radar Waveform Development
Adventures in Compressive Sensing Based MIMO Radar
The Algebra of Elimination
Hodge-de Rahm Theory of K-Forms on Carpet Type Fractals
Biosequence Time-frequency Processing: Pathogen Detection and Identification
36.
ＥＢ
edited by Stevan Pilipović, Joachim Toft
目次情報:
続きを見る
Preface
U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary
C. Boiti and D. Jornet: The Problem of Iterates in Some Classes of Ultradifferentiable Functions
C. Bouzar and M.T. Khalladi: On Asymptotically Almost Periodic Generalized Solutions of Differential Equations
E. Cordero, F. Nicola and L. Rodino: Gabor Wave Packets and Evolution Operators
H. Fredriksson: A Weighted Version of Wiener’s Lemma in p-normed Algebras for 0 < p ≤ 1
L. Galleani: Time-Frequency Initial Value Problems for Random MIMO Systems
G. Garello and A. Morando: Microlocal Regularity of Besov Type for Solutions to Quasi-elliptic Nonlinear Partial Differential Equations
T. Gramchev, A. Lecke, S. Pilipiovic and L. Rodino: Gelfand–Shilov Type Spaces Through Hermite Expansions
T. Gramchev and G. Tranquilli: Cauchy Problem for Second-order Hyperbolic Equations for Shubin Pseudodifferential Operators
G. Hörmann, S. Konjik and M. Kunzinger: A Regularization Approach to Non-smooth Symplectic Geometry
S. Mincheva-Kaminska: Equivalent Conditions for Integrability of Distributions
I. Kmit and L. Recke: Time-periodic Second-order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence
S. Kostadinova, S. Pilipovic, K. Saneva and J. Vindas: The Ridgelet Transform and Quasiasymptotic Behavior of Distributions
T. Levajkovic H. Mena: Equations Involving Malliavin Derivative:A Chaos Expansion Approach
J.-A. Marti: Generalized and Classical Solutions to a Characteristic Cauchy Problem with Hörmander Hypotheses
I.V. Melnikova and U.A. Alekseeva: On Generalized Solutions to Stochastic Systems
C. Sämann and R. Steinbauer: Geodesic Completeness of Generalized Space-times
J. Toft: Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
K. Yoshino: Spectral Analysis of Daubechies Localization Operators
Preface
U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary
C. Boiti and D. Jornet: The Problem of Iterates in Some Classes of Ultradifferentiable Functions
37.
ＥＢ
by Stephen Bruce Sontz
目次情報:
続きを見る
Introduction
Basics of Manifolds
Vector Bundles
Vectors and Covectors
Differential Forms
Lie Derivatives
Lie Groups
Frobenius Theorem
Principle Bundles
Connections on Principle Bundles
Curvature of a Connection
Classical Electromagnetism
Yang-Mills Theory
Gauge Theory
The Dirac Monopole
Instantons
What Next?
Discussion of the Exercises
Introduction
Basics of Manifolds
Vector Bundles
38.
ＥＢ
edited by Radu Balan, Matthew Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS
Bridging Erasures and the Infrastructure of Frames
Choosing Function Spaces in Harmonic Analysis
Existence of Frames with Prescribed Norms and Frame Operator
Phase Transitions in Phase Retrieval
Sparsity-Assisted Signal Smoothing
A Message-Passing Approach to Phase Retrieval of Sparse Signals
Importance Sampling in Signal Processing Applications
Finite Dimensional Dynamical Sampling: An Overview
Signal Processing on Weighted Line Graphs
Adaptive Signal Processing
Spectral Correlation Hub Screening of Multivariate Time Series
A Spectral Analysis Approach for Experimental Designs
The Synchrosqueezing Transform for Instantaneous Spectral Analysis
Supervised Non-Negative Matrix Factorization for Audio Source Separation
Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS
Bridging Erasures and the Infrastructure of Frames
Choosing Function Spaces in Harmonic Analysis
39.
ＥＢ
by Jonas Gomes, Luiz Velho
目次情報:
続きを見る
Introduction
Function Representation and Reconstruction
The Fourier Transform
Windowed Fourier Transform
The Wavelet Transform
Multiresolution Representation
The Fast Wavelet Transform
Filter Banks and Multiresolution
Constructing Wavelets
Wavelet Design
Orthogonal Wavelets
Biorthogonal Wavelets
Directions and Guidelines
Appendices
Introduction
Function Representation and Reconstruction
The Fourier Transform
40.
ＥＢ
by László Székelyhidi
41.
ＥＢ
by André Unterberger
42.
ＥＢ
edited by Daniel Alpay, Annemarie Luger, Harald Woracek
43.
ＥＢ
by N. Bourbaki
44.
ＥＢ
edited by Tao Qian, Mang I Vai, Yuesheng Xu
45.
ＥＢ
by Ole Christensen
46.
ＥＢ
edited by John J. Benedetto, Palle E. T. Jorgensen, Kathy D. Merrill, Judith A. Packer
47.
ＥＢ
by David R. Adams
目次情報:
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Introduction
Function Spaces
Hausforff Capacity
Choquet Integrals
Duality for Morrey Spaces
Maximal Operators and Morrey Spaces
Potential Operators on Morrey Spaces
Singular Integrals on Morrey Spaces
Morrey-Sobolev Capacities
Traces of Morrey Potentials
Interpolation of Morrey Spaces
Commutators of Morrey Potentials
Mock Morrey Spaces
Morrey-Besov Spaces and Besov Capacities
Morrey Potentials and PDE I
Morrey Potentials and PDE II
Morrey Spaces on Complete Riemannian Manifolds
Introduction
Function Spaces
Hausforff Capacity
48.
ＥＢ
by Cho-Ho Chu ; edited by J. -M. Morel, F. Takens, B. Teissier
49.
ＥＢ
by Michael Cowling, Edward Frenkel, Masaki Kashiwara, Alain Valette, David A. Vogan, Nolan R. Wallach ; edited by Enrico Casadio Tarabusi, Andrea D'Agnolo, Massimo Picardello
50.
ＥＢ
by Donggao Deng, Yongsheng Han ; edited by J. -M. Morel, F. Takens, B. Teissier
51.
ＥＢ
by Martine Queffélec
52.
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
53.
ＥＢ
by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
54.
ＥＢ
edited by Stephen D. Casey, Kasso A. Okoudjou, Michael Robinson, Brian M. Sadler
目次情報:
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Claude Shannon: American Genius
Reconstruction of Signals: Uniqueness and Stable Sampling
Sampling Theory in a Fourier Algebra Setting
Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions
Prolate Shift Frames and Sampling of Bandlimited Functions
A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation
Claude Shannon: American Genius
Reconstruction of Signals: Uniqueness and Stable Sampling
Sampling Theory in a Fourier Algebra Setting
55.
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
56.
ＥＢ
edited by Vladimir Georgiev, Tohru Ozawa, Michael Ruzhansky, Jens Wirth
目次情報:
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Local smoothing of Fourier integral operators and Hermite functions
On () -classes on the Engel group
Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups
A multiplicity result for a non-homogeneous subelliptic problem with Sobolev exponent
The Dixmier trace and the noncommutative residue for multipliers on compact manifolds
On the focusing energy-critical 3D quintic inhomogeneous NLS
Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order
Spectral theory for magnetic Schrödinger operators in exterior domains with exploding and oscillating long-range potentials
Simple proof of the estimate of solutions to Schrödinger equations with linear and sub-linear potentials in modulation spaces
Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates
On uniqueness for the generalized Choquard equation
Characterization of the ground state to the intercritical NLS with a linear potential by the virial functional
Well-posedness for a generalized Klein-Gordon-Schrödinger equations
Local smoothing of Fourier integral operators and Hermite functions
On () -classes on the Engel group
Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups
57.
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
58.
ＥＢ
by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel
目次情報:
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Preface
Preliminaries and Basic Knowledge on Time Scales
A Classification of Closedness of Time Scales under Translations
Almost Periodic Functions and Generalizations on Complete-Closed Time Scales
Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales
Almost Automorphic Functions and Generalizations on Translation Time Scales
Nonlinear Dynamic Equations on Translation Time Scales
Impulsive Dynamic Equations on Translation Time Scales
Almost Automorphic Dynamic Equations on Translation Time Scales
Analysis of Dynamical System Models on Translation Time Scales
Index
Preface
Preliminaries and Basic Knowledge on Time Scales
A Classification of Closedness of Time Scales under Translations
59.
ＥＢ
by Christian Voigt, Robert Yuncken
60.
ＥＢ
edited by Michael Th. Rassias
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Optimization and Its Applications ; 168
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-61887-2
所蔵情報:
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目次情報:
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Sampling and Approximation in Shift Invariant subspaces of L2(ℝ) (Atreas)
Optimal ℓ1 rank one matrix decomposition (Balan)
An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis (Balazard)
Large Sets Avoiding Rough Patterns (Zahl)
PDE methods in Random Matrix Theory (Hall)
Structure and optimisation in computational harmonic analysis – On key aspects in sparse regularisation (Hansen)
Reflections on a Theorem of Boas and Pollard (Heil)
The Andoni-Krauthgamer-Razenshteyn characterization of sketchable norms fails for sketchable metrics (Noar)
Degree of convergence of some operators ^ 1 (Mohapatra)
Real variable methods in harmonic analysis and Navier–Stokes equations (Lemarié-Rieusset)
Explore intrinsic geometry of sleep dynamics and predict sleep stage by unsupervised learning techniques (Wu)
Harmonic functions in slabs and half-spaces (Madych)
Sampling and Approximation in Shift Invariant subspaces of L2(ℝ) (Atreas)
Optimal ℓ1 rank one matrix decomposition (Balan)
An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis (Balazard)
61.
ＥＢ
by Biswaranjan Behera, Qaiser Jahan
目次情報:
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Local Fields
Multiresolution Analysis on Local Fields
Affine, Quasi-Affine and Co-Affine Frames
Characterizations in Wavelet Analysis
Biorthogonal Wavelets
Wavelet Packets and Frame Packets
Wavelets as Unconditional Bases
Shift-Invariant Spaces and Wavelets
Local Fields
Multiresolution Analysis on Local Fields
Affine, Quasi-Affine and Co-Affine Frames
62.
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edited by Ali Baklouti, Hideyuki Ishi
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 366
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-78346-4
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1 A. Baklouti and H. Ishi, Takaaki Nomura, A prominent figure for the Tunisian-Japanese Cooperation
2 K. Arashi, Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone
3 Daniel de la Concepción and A. Makhlouf, Variety of Hom-Sabinin algebras and related algebra subclasses
4 J. Faraut, Eigenvalues of positive pseudo-Hermitien matrices
5 H. Hamrouni and Z. Jlali, On the subgroup lattices of Lie groups with finitely many connected components
6 J. Inoue, Semi-invariant vectors associated with holomorphically induced representations of exponential Lie groups
7 T. Kawasoe, Singular integral operators of convolution type on Jacobi hypergroup
8 K. Koufany and H. Ishi, The compression semigroup of the dual Vinberg cone
9 D. Manchon and H. Z. Munthe-Kaas, The universal pre-Lie-Rinehart algebras of aromatic trees
10 R. Matsunawa and H. Takemura, Variants of confluent $q$-hypergeometric equations
11 S. Mustapha, Property (RD) for algebraic groups]{Rapid decay property for algebraic $p$-adic groups
12 H. Nakashima, Rings of invariant differential operators on homogeneous cones and Capelli-type identities
13 N. Shemino and N. Tani, An extension of Pizzetti's formula associated with the Dunkl operators
14 Y. Tanaka, On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups
1 A. Baklouti and H. Ishi, Takaaki Nomura, A prominent figure for the Tunisian-Japanese Cooperation
2 K. Arashi, Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone
3 Daniel de la Concepción and A. Makhlouf, Variety of Hom-Sabinin algebras and related algebra subclasses
63.
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)
64.
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edited by Paolo Ciatti, Alessio Martini
65.
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
66.
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by Cornelia Schneider
67.
ＥＢ
by Matej Brešar
68.
ＥＢ
edited by Alexey N. Karapetyants, Vladislav V. Kravchenko, Elijah Liflyand, Helmuth R. Malonek
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 357
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-77493-6
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Summability to the hilbert transform
Is every nontrivial hausdorff operator on lebesgue space a non-riesz operator?
Lebesgue means of trigonometric integrals and their rate of convergence
Spanne type characterization of parabolic fractional maximal function and its commutators in parabolic generalized Orlicz-Morrey spaces
A Dirichlet Problem for Non-Elliptic equations and Chebyshev polynomials
Banach Spaces of Functions Delta-Subharmonic in the Half-Plane
Spanne-Guliyev type characterization for fractional integral operator and its commutators in generalized Orlicz-Morrey spaces on spaces of homogeneous type
Inversion of the Weighed Spherical Mean
Justification of the averaging method for a system with multipoint boundary value conditions
On Multidimensional Integral Operators with Homogeneous Kernels in Classes with Asymptotics
On a Riemann boundary value problem with infinite index in the half-plane
On reflexivity and other geometric properties of Morrey spaces
Generalized Cauchy-Riemann Equations with Power-law Singularities in Coefficients of Lower Order
Martingale hardy-amalgam spaces: atomic decompositions and duality
On initial extensions of mappings
Some algebraic aspects of Boolean valued analysis
Robust Estimation of European and Asian Options
Weighted estimates containing quasilinear operators
Banach Spaces of Functions Delta-Subharmonic in the Unit Disc
Some properties of the kernel of a transmutation operator
Unilateral ball potentials in grand Lebesgue spaces
A refinement of the Adams theorem on the Riesz potential
Weighted Hadamard-Bergman convolution operators
Non-tangential summability of fourier series
Homogenization, drift, stabilization and destabilization for the Patlak-Keller-Segel systems driven by the indirect taxis and the short-wavelength external signals
Applying Wavelet Transformations as a Solution for Convolution Type Equations
Some questions related with extended eigenvalues and extended eigenoperators
Norms of linear functionals, summability of trigonometric
Boundary value problems for 3D-Dirac operators and MIT bag model
A Neumann series of Bessel functions representation for solutions of the radial Dirac system
On subadditivity for subspace-valued maps
Repeated Distances and Dot Products in Finite Fields
On Some Implementations of Fourier Interpolation
Eigenvalues of tridiagonal Hermitian Toeplitz matrices with perturbations in the off-diagonal corners
Boundary behaviour of partial derivatives of solutions of certain laplacian-gradient Inequalities and spatial qc maps
Summability to the hilbert transform
Is every nontrivial hausdorff operator on lebesgue space a non-riesz operator?
Lebesgue means of trigonometric integrals and their rate of convergence
69.
ＥＢ
edited by Filippo De Mari, Ernesto De Vito
目次情報:
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Bartolucci, F., De Mari, F., Monti, M., Unitarization of the Horocyclic Radon Transform on Symmetric Spaces
Maurer, A., Entropy and Concentration.-Alaifari, R., Ill-Posed Problems: From Linear to Non-Linear and Beyond
Salzo, S., Villa, S., Proximal Gradient Methods for Machine Learning and Imaging
De Vito, E., Rosasco, L., Rudi, A., Regularization: From Inverse Problems to Large Scale Machine Learning
Bartolucci, F., De Mari, F., Monti, M., Unitarization of the Horocyclic Radon Transform on Symmetric Spaces
Maurer, A., Entropy and Concentration.-Alaifari, R., Ill-Posed Problems: From Linear to Non-Linear and Beyond
Salzo, S., Villa, S., Proximal Gradient Methods for Machine Learning and Imaging
70.
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by Lars-Erik Persson, George Tephnadze, Ferenc Weisz
71.
ＥＢ
edited by Gitta Kutyniok, Holger Rauhut, Robert J. Kunsch
目次情報:
続きを見る
Hierarchical compressed sensing (G. Wunder)
Proof Methods for Robust Low-Rank Matrix Recovery (T. Fuchs)
New Challenges in Covariance Estimation: Multiple Structures and Coarse Quantization (J. Maly)
Sparse Deterministic and Stochastic Channels: Identification of Spreading Functions and Covariances (Dae Gwan Lee)
Analysis of Sparse Recovery Algorithms via the Replica Method (A. Bereyhi)
Unbiasing in Iterative Reconstruction Algorithms for Discrete Compressed Sensing (F.H. Fischer)
Recovery under Side Constraints (M. Pesavento)
Compressive Sensing and Neural Networks from a Statistical Learning Perspective (E. Schnoor)
Angular Scattering Function Estimation Using Deep Neural Networks (Y. Song)
Fast Radio Propagation Prediction with Deep Learning (R. Levie)
Active Channel Sparsification: Realizing Frequency Division Duplexing Massive MIMO with Minimal Overhead (M. B. Khalilsarai)
Atmospheric Radar Imaging Improvements Using Compressed Sensing and MIMO (J. O. Aweda)
Over-the-Air Computation for Distributed Machine Learning and Consensus in Large Wireless Networks (M. Frey)
Information Theory and Recovery Algorithms for Data Fusion in Earth Observation (M. Fornasier)
Sparse Recovery of Sound Fields Using Measurements from Moving Microphones (A. Mertins)
Compressed Sensing in the Spherical Near-Field to Far-Field Transformation (C. Culotta-López)
Hierarchical compressed sensing (G. Wunder)
Proof Methods for Robust Low-Rank Matrix Recovery (T. Fuchs)
New Challenges in Covariance Estimation: Multiple Structures and Coarse Quantization (J. Maly)
72.
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edited by Michael Ruzhansky, Jens Wirth
73.
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by Dorina Mitrea, Irina Mitrea, Marius Mitrea
目次情報:
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Prefacing this Series
Statement of Main Results Concerning the Divergence Theorem
Examples, Counterexamples, and Additional Perspectives
Measure Theoretical and Topological Rudiments
Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets
Tools from Harmonic Analysis
Quasi-Metric Spaces and Spaces of Homogenous Type
Open Sets with Locally Finite Surface Measures and Boundary Behavior
Proofs of Main Results Pertaining to the Divergence Theorem
II: Function Spaces Measuring Size and Smoothness on Rough Sets
Preliminary Functional Analytic Matters
Selected Topics in Distribution Theory
Hardy Spaces on Ahlfors Regular Sets
Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets
Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets
Boundary Traces from Weighted Sobolev Spaces in Besov Spaces
Besov and Triebel-Lizorkin Spaces in Open Sets
Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morney Spaces
Sobolev Spaces on the Geometric Measure Theoretic boundary of Sets of Locally Finite Perimeter
III: Integral Representations Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering
Integral Representations and Integral Identities
Calderón-Zygmund Theory on Uniformly Rectifiable Sets
Quantitative Fatou-Type Theorems in Arbitrary UR Domains
Scattering by Rough Obstacles
IV: Boundary Layer Potentials on Uniformly Rectifiable Domains, and Applications to Complex Analysis
Layer Potential Operators on Lebesgue and Sobolev Spaces
Layer Potential Operators on Hardy, BMO, VMO, and Hölder Spaces
Layer Potential Operators on Calderón, Morrey-Campanato, and Morrey Spaces
Layer Potential Operators Acting from Boundary Besov and Triebel-Lizorkin Spaces
Generalized double Layers in Uniformly Rectifiable Domains
Green Formulas and Layer Potential Operators for the Stokes System
Applications to Analysis in Several Complex Variables
V: Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems
Abstract Fredholm Theory
Distinguished Coefficient Tensors
Failure of Fredholm Solvability for Weakly Elliptic Systems
Quantifying Global and Infinitesimal Flatness
Norm Estimates and Invertibility Results for SIO's on Unbounded Boundaries
Estimating Chord-Dot-Normal SIO's on Domains with Compact Boundaries
The Radon-Carleman Problem
Fredholmness and Invertibility of Layer Potentials on Compact Boundaries
Green Functions and Uniqueness for Boundary Problems for Second-Order Systems
Green Functions and Poisson Kernels for the Laplacian
Boundary Value Problems for Elliptic Systems in Rough Domains
Prefacing this Series
Statement of Main Results Concerning the Divergence Theorem
Examples, Counterexamples, and Additional Perspectives
74.
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by Lars Tuset
目次情報:
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Preface
Set theoretic preliminaries
Banach spaces
Bases in Banach spaces
Operators on Hilbert spaces
Spectral theory
States and representations
Types of von Neumann algebras
Tensor products
Unbounded operators
Tomita-Takesaki theory
Spectra and type III factors
Quantum groups and duality
Special cases
Classical crossed products
Crossed products for quantum groups
Generalized and continuous crossed products
Basic construction and quantum groups
Galois objects and cocycle deformations
Doublecrossed products of quantum groups
Induction.-Appendix
Bibliography
Index
Exercises
Preface
Set theoretic preliminaries
Banach spaces
75.
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by M. Ram Murty
目次情報:
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1. Background
2. Measure Theory
3. Fourier Transforms
4. Complex Analysis
5. Introduction to Algebraic Topology
Index
1. Background
2. Measure Theory
3. Fourier Transforms
76.
ＥＢ
edited by Paula Cerejeiras, Michael Reissig
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 385
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-97127-4
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77.
ＥＢ
edited by Artur Avila, Michael Th. Rassias, Yakov Sinai
目次情報:
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On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)
On the Origins, Nature and Impact of Bourgain's Discretized Sum-Product Theorem (A. Gamburd)
Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of C2 (M. Goldstein)
A Weighted Prekopa-Leindler inequality and sumsets with quasicubes (B. Green)
Equidistribution of affine random walks on some nilmanifolds (E. Lindenstrauss)
Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrodinger operators with smooth potentials (S. Jitomirskaya)
The slicing problem by Bourgain (B. Klartag)
On the work of Jean Bourgain in nonlinear dispersive equations (E. Kenig)
On Trace sets of restricted continued fraction semigroups (A. Kontorovich)
Polynomial Equations in Subgroups and Applications (V. Konyagin)
Exponential sums, twisted multiplicativity and moments (E. Kowalski)
The ternary Goldbach problem with a missing digit and other primes of special types (Th. Rassias)
A note on harmonious sets (Y. Franc cois Meyer)
On the multiplicative group generated by two primes in Z/QZ (P. Varju)
On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)
78.
ＥＢ
edited by Nam-Gyu Kang, Jaigyoung Choe, Kyeongsu Choi, Sang-hyun Kim
目次情報:
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Young-Hoon Kiem: Enumerative Geometry, before and after String Theory
Dongho Chae: On The Singularity Problem for the Euler Equations
Simon Brendle: Singularity Models in the Three-Dimensional Ricci Flow
Hyeonbae Kang: Spectral Geometry and Analysis of the Neumann-Poincaré Operator, A Review
Danny Calegari: Sausages and Butcher Paper
Young-Hoon Kiem: Enumerative Geometry, before and after String Theory
Dongho Chae: On The Singularity Problem for the Euler Equations
Simon Brendle: Singularity Models in the Three-Dimensional Ricci Flow
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