1.
ＥＢ
edited by Christopher Heil
2.
ＥＢ
by Karl-Georg Steffens ; edited by George A. Anastassiou
3.
ＥＢ
by M. M. Rao, R. J. Swift
4.
ＥＢ
by Wojbor A. Woyczyński
5.
ＥＢ
by J.J. Duistermaat, J.A.C. Kolk
6.
ＥＢ
by Emmanuele DiBenedetto
7.
ＥＢ
edited by Brigitte Forster, Peter Massopust
8.
ＥＢ
by Mladen Victor Wickerhauser
9.
ＥＢ
by Ole Christensen
10.
ＥＢ
by Wojbor A. Woyczynski
11.
ＥＢ
by Christopher Heil
12.
ＥＢ
by Steffen Roch, Pedro A. Santos, Bernd Silbermann
13.
ＥＢ
by Gerald Kaiser
14.
ＥＢ
by J.J. Duistermaat
15.
ＥＢ
edited by Jonathan Cohen, Ahmed I. Zayed
16.
ＥＢ
by M. W. Wong
17.
ＥＢ
edited by G. Fichera, E. Magenes
18.
ＥＢ
by Ole Christensen, Khadija L. Christensen
目次情報:
続きを見る
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
19.
ＥＢ
edited by Gitta Kutyniok, Demetrio Labate
20.
ＥＢ
by Luis Barreira, Claudia Valls
21.
ＥＢ
edited by Jean-Michel Rakotoson
22.
ＥＢ
by Giuseppe Mastroianni, Gradimir V. Milovanović
23.
ＥＢ
by Claudio Canuto, Anita Tabacco ; edited by F. Brezzi, P. Biscari, C. Ciliberto, A. Quarteroni, G. Rinaldi, W. J. Runggaldier
24.
ＥＢ
by Bao Luong
25.
ＥＢ
edited by Carlos Cabrelli, Jose Luis Torrea
26.
ＥＢ
by Steven G.G. Krantz ; edited by John J. Benedetto
27.
ＥＢ
by Loukas Grafakos
28.
ＥＢ
by Loukas Grafakos
29.
ＥＢ
edited by Gunilla Borgefors, Rachid Deriche, Thomas S. Huang, Tianzi Jiang, Reinhard Klette, Ales Leonardis, Heinz-Otto Peitgen, Katsushi Ikeuchi, John K. Tsotsos, Isaac Amidror
30.
ＥＢ
by Valery V. Volchkov, Vitaly V. Volchkov
31.
ＥＢ
by Constantin Corduneanu
32.
ＥＢ
by Anton Deitmar, Siegfried Echterhoff
33.
ＥＢ
by Urs Graf
34.
ＥＢ
by Fabio Nicola, Luigi Rodino
35.
ＥＢ
by Tobias Nau
36.
ＥＢ
edited by Irene Sabadini, Daniele C Struppa
37.
ＥＢ
by S. Ponnusamy
38.
ＥＢ
by Jeffrey A. Hogan, Joseph D. Lakey
39.
ＥＢ
edited by Peter G. Casazza, Gitta Kutyniok
目次情報:
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Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
Gabor Framses in Finite Dimensions
Frames as Codes
Quantization and Finite Frames
Finite Frames for Sparse Signal Processing
Finite Frames and Filter Banks
Finite Frame theory in Pure Mathematics
Probabilitstic Frames
Fusion Frames
Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
40.
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
41.
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
42.
ＥＢ
by Volker Michel
目次情報:
続きを見る
Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
Approximation of Functions on the Real Line
Part II Approximation on the Sphere
Basic Aspects
Fourier Analysis
Spherical Splines
Spherical Wavelet Analysis
Spherical Slepian Functions
Part III Approximation on the 3D Ball
Orthonormal Bases
Splines
Wavelets for Inverse Problems on the 3D Ball
The Regularized Functional Matching Pursuit (RFMP)
References
Index
Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
43.
ＥＢ
by Boris Makarov, Anatolii Podkorytov
目次情報:
続きを見る
Measure
The Lebesgue Model
Measurable Functions
The Integral
The Product Measure
Change of Variables in an Integral
Integrals Dependent on a Parameter
Surface Integrals
Approximation and Convolution of the Space
Fourier Series and the Fourier Transform
Charges. The Radon-Nikodym Theory
Integral Representation of Linear Functionals
Appendices
Measure
The Lebesgue Model
Measurable Functions
44.
ＥＢ
by George E. Andrews, Bruce C. Berndt
目次情報:
続きを見る
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums
15 Functional Equations for Products of Mellin Transforms
16 Infinite Products
17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt
18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis
20 Elementary Results
21 A Strange, Enigmatic Partial Manuscript.- Location Guide
Provenance
References
Index
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
45.
ＥＢ
by Jan Pachl
目次情報:
続きを見る
Prerequisites
1. Uniformities and Topologies
2. Induced Uniform Structures
3. Uniform Structures on Semigroups
4. Some Notable Classes of Uniform Spaces
5. Measures on Complete Metric Spaces
6. Uniform Measures
7. Uniform Measures as Measures
8. Instances of Uniform Measures
9. Direct Product and Convolution
10. Free Uniform Measures
11. Approximation of Probability Distributions
12. Measurable Functionals
Hints to Excercises
References
Notation Index
Author Index
Subject Index
Prerequisites
1. Uniformities and Topologies
2. Induced Uniform Structures
46.
ＥＢ
by Colin C. Graham, Kathryn E. Hare
目次情報:
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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
47.
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
48.
ＥＢ
by Feng Dai, Yuan Xu
目次情報:
続きを見る
1 Spherical Harmonics
2 Convolution and Spherical Harmonic Expansion
3 Littlewood-Paley Theory and Multiplier Theorem
4 Approximation on the Sphere
5 Weighted Polynomial Inequalities
6 Cubature Formulas on Spheres
7 Harmonic Analysis Associated to Reflection Groups
8 Boundedness of Projection Operator and Cesàro Means
9 Projection Operators and Cesàro Means in L^p Spaces
10 Weighted Best Approximation by Polynomials
11 Harmonic Analysis on the Unit Ball
12 Polynomial Approximation on the Unit Ball
13 Harmonic Analysis on the Simplex
14 Applications
A Distance, Difference and Integral Formulas
B Jacobi and Related Orthogonal Polynomials
References
Index
Symbol Index
1 Spherical Harmonics
2 Convolution and Spherical Harmonic Expansion
3 Littlewood-Paley Theory and Multiplier Theorem
49.
ＥＢ
edited by Eckhard Hitzer, Stephen J. Sangwine
目次情報:
続きを見る
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
10 Analytic Video (2D+t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras
11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications
12 Color Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising
13 Seeing the Invisible and Maxwell’s Equations
14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl_{0,n}
15 The Balian-Low theorem for the Windowed Clifford-Fourier Transform
16 Sparse Representation of Signals in Hardy Space. - Index
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
50.
ＥＢ
by M. Ram Murty, V. Kumar Murty
目次情報:
続きを見る
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
Chapter 3. Ramanujan’s conjecture and l-adic representations
Chapter 4. The Ramanujan conjecture from GL(2) to GL(n)
Chapter 5. The circle method
Chapter 6. Ramanujan and transcendence
Chapter 7. Arithmetic of the partition function
Chapter 8. Some nonlinear identities for divisor functions
Chapter 9. Mock theta functions and mock modular forms
Chapter 10. Prime numbers and highly composite numbers
Chapter 11. Probabilistic number theory
Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function
Bibliography
Index
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
51.
ＥＢ
by Fabio Botelho
目次情報:
続きを見る
1. Topological Vector Spaces
2. The Hahn-Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4. Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg-Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzburg-Landau System
16. More on Duality and Computation in the Ginzburg-Landau System
17. On Duality Principles for Scalar and Vectorial Multi-Well Variational Problems
18. More on Duality Principles for Multi-Well Problems
19. Duality and Computation for Quantum Mechanics Models
20. Duality Applied to the Optimal Design in Elasticity
21. Duality Applied to Micro-magnetism
22. The Generalized Method of Lines Applied to Fluid Mechanics
23. Duality Applied to the Optimal Control and Optimal Design of a Beam Model
1. Topological Vector Spaces
2. The Hahn-Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
52.
ＥＢ
by Alex Iosevich, Elijah Liflyand
目次情報:
続きを見る
Foreword
Introduction
Chapter 1. Basic properties of the Fourier transform
Chapter 2. Oscillatory integrals and Fourier transforms in one variable
Chapter 3. The Fourier transform of an oscillating function
Chapter 4. The Fourier transform of a radial function
Chapter 5. Multivariate extensions
Appendix
Bibliography.
Foreword
Introduction
Chapter 1. Basic properties of the Fourier transform
53.
ＥＢ
by Malempati M. Rao
目次情報:
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1.Introduction and Preliminaries
2.Some Principles of Hypothesis Testing
3.Parameter Estimation and Asymptotics
4.Inferences for Classes of Processes
5.Likelihood Ratios for Processes
6.Sampling Methods for Processes
7.More on Stochastic Inference
8.Prediction and Filtering of Processes
9.Nonparametric Estimation for Processes
Bibliography
Index
1.Introduction and Preliminaries
2.Some Principles of Hypothesis Testing
3.Parameter Estimation and Asymptotics
54.
ＥＢ
edited by Karlheinz Gröchenig, Yurii Lyubarskii, Kristian Seip
目次情報:
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1 P. Abry, S. Jaffard, and H. Wendt: A bridge between geometric measure theory and signal processing: Multifractal analysis
2 D. Batenkov and Y. Yomdin: Local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions
3 H. Feichtinger: Elements of postmodern harmonic analysis
4 G. Kozma and A. Olevskii: Singular distributions and symmetry of the spectrum
5 I. Laba: Recent progress on Favard length estimates for planar Cantor sets
6 A. Poltoratski: Bernstein's problem on weighted polynomial approximation
7 J. Sjöstrand: Return to equilibrium, non-self-adjointness and symmetries, recent results with M. Hitrik and F. Hérau
8 S. Treil: A remark on two weight estimates for positive dyadic operators
1 P. Abry, S. Jaffard, and H. Wendt: A bridge between geometric measure theory and signal processing: Multifractal analysis
2 D. Batenkov and Y. Yomdin: Local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions
3 H. Feichtinger: Elements of postmodern harmonic analysis
55.
ＥＢ
by Svetlin G. Georgiev
目次情報:
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1 Introduction
2 Generalities on distributions
3 Differentiation
4 Homogeneous distributions
5 Direct product of distributions
6 Convolutions
7 Tempered distributions
8 Integral transforms
9 Fundamental solutions
10 Sobolev spaces
1 Introduction
2 Generalities on distributions
3 Differentiation
56.
ＥＢ
edited by Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni
目次情報:
続きを見る
1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie
2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas
3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri
5 X-Elliptic Harmonic Maps. Sorin Dragomir
6 Sum operators and Fefferman - Phong inequalities. Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
7 Lp-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type Operators. Enrico Priola
8 Local solvability of nonsmooth Hörmander’s operators. Marco Bramanti
9 Multiple solutions for an eigenvalue problem involving non–local elliptic p–Laplacian operators. Patrizia Pucci and Sara Saldi
10 Uniqueness of solutions of a class of quasilinear subelliptic equations. Lorenzo D’Ambrosio and Enzo Mitidieri
11 Liouville type theorems for non-linear differential inequalities on Carnot groups. Luca Brandolini and Marco Magliaro
12 Modica type gradient estimates for reaction-diffusion equations. Agnid Banerjee and Nicola Garofalo
13 A few recent results on fully nonlinear pde’s. Italo Capuzzo Dolcetta
14 Hölder regularity of the gradient for solutions of fully nonlinear equations with sub linear first order term. Isabeau Birindelli and Francoise Demengel
15 The Reflector Problem and the inverse square law. Cristian E. Gutiérrez and Ahmad Sabra
16 Gagliardo-Nirenberg inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group. Annalisa Baldi, Bruno Franchi and Francesca Tripaldi
17 Regularity of the free boundary in problems with distributed sources. Daniela De Silva, Fausto Ferrari, Sandro Salsa
18 The role of fundamental solution in Potential and Regularity Theory for subelliptic PDE. Andrea Bonfiglioli, Giovanna Citti, Giovanni Cupini, Maria Manfredini, Annamaria Montanari, Daniele Morbidelli, Andrea Pascucci, Sergio Polidoro, Francesco Uguzzoni
1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie
2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas
3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri
57.
ＥＢ
by Sabir Umarov
目次情報:
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Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators
Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols
Initial and Boundary Value Problems for Fractional Order Differential Equations
Distributed and Variable Order Differential-Operator Equations
Fractional Fokker-Planck-Kolmogorov Equations
Random Walk Approximants of Mixed and Time-Changed Levy Processes
Complex DOSS and Systems of Complex Differential Equations
References
Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators
58.
ＥＢ
by Jonas Gomes, Luiz Velho
目次情報:
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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
59.
ＥＢ
by László Székelyhidi
60.
ＥＢ
edited by Andrew Granville, Zeév Rudnick
61.
ＥＢ
by Isaac Amidror
62.
ＥＢ
edited by Éric Charpentier, Annick Lesne, Nikolaï K. Nikolski
63.
ＥＢ
by Anatolii Korenovskii
64.
ＥＢ
edited by Tao Qian, Mang I Vai, Yuesheng Xu
65.
ＥＢ
by P.N. Natarajan
目次情報:
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1. Introduction and Preliminaries
2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis
3. Ultrametric Functional Analysis
4. Ultrametric Summability Theory
5. The Nörlund and the Weighted Mean Methods
6. The Euler and the Taylor Methods
7. Tauberian Theorems
8. Silverman-Toeplitz Theorem for Double Sequences and Double Series
9. The Nörlund Method and the Weighted Mean Method for Double Sequences
1. Introduction and Preliminaries
2. Some Arithmetic and Analysis in Qp; Derivatives in Ultrametric Analysis
3. Ultrametric Functional Analysis
66.
ＥＢ
edited by Francisco Marcellán, Walter Assche
67.
ＥＢ
by Gitta Kutyniok
68.
ＥＢ
by Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft ; edited by J. -M. Morel, F. Takens, B. Teissier, Luigi Rodino, M. W. Wong
69.
ＥＢ
by Michael Wilson
70.
ＥＢ
by Donggao Deng, Yongsheng Han ; edited by J. -M. Morel, F. Takens, B. Teissier
71.
ＥＢ
by Wen Yuan, Winfried Sickel, Dachun Yang
72.
ＥＢ
by Martine Queffélec
73.
ＥＢ
by Andreas Defant
74.
ＥＢ
by André Unterberger
目次情報:
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Preface
Introduction
The Metaplectic and Anaplectic Representations
The One-dimensional Alternative Pseudodifferential Analysis
From Anaplectic Analysis to Usual Analysis
Pseudodifferential Analysis and Modular Forms
Index
Bibliography
Preface
Introduction
The Metaplectic and Anaplectic Representations
75.
ＥＢ
by Irina Mitrea, Marius Mitrea
目次情報:
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1 Introduction
2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case
3 Function spaces of Whitney arrays
4 The double multi-layer potential operator
5 The single multi-layer potential operator
6 Functional analytic properties of multi-layer potentials and boundary value problems
1 Introduction
2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case
3 Function spaces of Whitney arrays
76.
ＥＢ
by Dachun Yang, Dongyong Yang, Guoen Hu
目次情報:
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Preliminaries
Approximations of the Identity
The Hardy Space H1(μ)
The Local Atomic Hardy Space h1(μ)
Boundedness of Operators over (RD, μ)
Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity
The Hardy Space H1 (χ, υ)and Its Dual Space RBMO (χ, υ)
Boundedness of Operators over((χ, υ)
Bibliography
Index
Abstract
Preliminaries
Approximations of the Identity
The Hardy Space H1(μ)
77.
ＥＢ
edited by William Chen, Anand Srivastav, Giancarlo Travaglini
目次情報:
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Preface
Classical and Geometric Discrepancy
Upper Bounds in Classical Discrepancy Theory
Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections
Irregularities of distribution and average decay of Fourier transforms
Superirregularity
Combinatorial Discrepancy
Multicolor Discrepancy of Arithmetic Structures
Algorithmic Aspects of Combinatorial Discrepancy
Practical Algorithms for Low-Discrepancy 2-Colorings
Applications and Constructions
On the distribution of solutions to diophantine equations
Discrepancy theory and quasi-Monte Carlo integration
Calculation of Discrepancy Measures and Applications
Author index
Subject index
Preface
Classical and Geometric Discrepancy
Upper Bounds in Classical Discrepancy Theory
78.
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
79.
ＥＢ
by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
80.
ＥＢ
by Pierre Brémaud
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Probability Theory and Stochastic Modelling ; 98
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-62753-9
所蔵情報:
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目次情報:
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Introduction
Generalities
Poisson Process on the Line
Spatial Poisson Processes
Renewal and Regenerative Processes
Point Processes with a Stochastic Intensity
Exvisible Intensity of Finite Point Processes
Palm Probability on the Line
Palm Probability in Space
The Power Spectral Measure
Information Content of Point Processes
Point Processes in Queueing
Hawkes Point Processes
Appendices
Bibliography
Index
Introduction
Generalities
Poisson Process on the Line
81.
ＥＢ
by Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
目次情報:
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1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
4. Applications of the Chinese Remainder Theorem
5. Input/ Output Behaviors
6. Interconnections of Input/ Output Behaviors
7. The Transfer Matrix as Operator or Input/ Output Map
8. Stability via Quotient Modules
9. Compensators
10. Observers
11. Canonical State Space Realizations
12. Generalized Fractional Calculus
1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
82.
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
83.
ＥＢ
edited by Serge Dos Santos, Mostafa Maslouhi, Kasso A. Okoudjou
目次情報:
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Part I Mathematical Modeling
The two-sided Gabor Quaternionic Fourier transform and uncertainty principles
Reflected backward SDEs in a convex polyhedron
On the energy decay of a nonhomogeneous hybrid system of elasticity
Part II Advanced Mathematics for Imaging
Advanced ground truth multimodal imaging using Time Reversal (TR) based Nonlinear Elastic Wave Spectroscopy (NEWS): medical imaging trends versus non-destructive testing applications
A geometrically constrained manifold embedding for an extrinsic Gaussian process
Numerical study of SIF for a crack in P265GH steel by XFEM
Part III Computer Sciences and Smart Technologies
Hardware acceleration of SVM training for real-time embedded systems: Overview
Integrating intelligent tutoring system into an adaptive E-Learning process
NDN VS TCP/IP: Which one is the best suitable for connected vehicles?
A new optimization method to Enhance QoS in OLSR protocol
Predictive analysis for diabetes using Big Data classification
Part I Mathematical Modeling
The two-sided Gabor Quaternionic Fourier transform and uncertainty principles
Reflected backward SDEs in a convex polyhedron
84.
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
85.
ＥＢ
by Tomasz Radożycki
目次情報:
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Examining Curves and Surfaces
Investigating Conditional Extremes
Investigating Integrals with Parameters
Examining Unoriented Curvilinear Integrals
Examining Differential Forms
Examining Oriented Curvilinear Integrals
Studying Functions of Complex Variable
Investigating Singularities of Complex Functions
Dealing with Multi-Valued Functions
Studying Fourier Series
Examining Curves and Surfaces
Investigating Conditional Extremes
Investigating Integrals with Parameters
86.
ＥＢ
by Santanu Saha Ray
目次情報:
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1. Mathematical Preliminaries
2. New Approaches for Decomposition Method for the Solution of Differential Equations
3. Numerical Solution of Fractional Differential Equations by using New Wavelet Operational Matrix of General Order
4. Numerical Solutions of Riesz Fractional Partial Differential Equations
5. New Exact Solutions of Fractional Order Partial Differential Equations
6. An Investigation for New Double Periodic Solutions of Coupled Schrödinger-Boussinesq Equations
7. New Techniques for Fractional Reduced Differential Transform Method
7. A Novel Approach with Time-Splitting Fourier Spectral Method for Riesz Fractional Differential Equations
9. Numerical Simulation of Stochastic Point Kinetic Equation in the Dynamical System of Nuclear Reactor
1. Mathematical Preliminaries
2. New Approaches for Decomposition Method for the Solution of Differential Equations
3. Numerical Solution of Fractional Differential Equations by using New Wavelet Operational Matrix of General Order
87.
ＥＢ
by Vasily N. Malozemov, Sergey M. Masharsky
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名:
Lecture Notes in Applied and Numerical Harmonic Analysis ;
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-47048-7
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1 Preliminaries
2 Signal Transforms
3 Spline Subspaces
4 Fast Algorithms
Solutions
References
Index
1 Preliminaries
2 Signal Transforms
3 Spline Subspaces
88.
ＥＢ
by Pierre Brémaud
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Probability Theory and Stochastic Modelling ; 98
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-62753-9
所蔵情報:
loading…
目次情報:
続きを見る
Introduction
Generalities
Poisson Process on the Line
Spatial Poisson Processes
Renewal and Regenerative Processes
Point Processes with a Stochastic Intensity
Exvisible Intensity of Finite Point Processes
Palm Probability on the Line
Palm Probability in Space
The Power Spectral Measure
Information Content of Point Processes
Point Processes in Queueing
Hawkes Point Processes
Appendices
Bibliography
Index
Introduction
Generalities
Poisson Process on the Line
89.
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
90.
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
91.
ＥＢ
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
92.
ＥＢ
by Svetlin G. Georgiev
93.
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)
94.
ＥＢ
edited by Paolo Ciatti, Alessio Martini
95.
ＥＢ
by Elijah Liflyand
96.
ＥＢ
by Ferenc Weisz
目次情報:
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One-dimensional Fourier series
lq-summability of higher dimensional Fourier series
Rectangular summability of higher dimensional Fourier series
Lebesgue points of higher dimensional functions
One-dimensional Fourier series
lq-summability of higher dimensional Fourier series
Rectangular summability of higher dimensional Fourier series
97.
ＥＢ
edited by Francisco Marcellán, Edmundo J. Huertas
98.
ＥＢ
by Živorad Tomovski, Delčo Leškovski, Stefan Gerhold
目次情報:
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1 Introduction
2 Generalized Mathieu Series
3 Mean Convergence of Fourier-Mathieu Series
4 Estimates for Multiple Generalized Mathieu Series
5 Asymptotic Expansions of Mathieu Series
6 Two-Sided Inequalities for the Butzer-Flocke-Hauss Complete Omega Function
7 Probability Distributions Associated with Mathieu Series
8 Conclusion
Appendix A: Some special functions and their properties
1 Introduction
2 Generalized Mathieu Series
3 Mean Convergence of Fourier-Mathieu Series
ＥＢ
