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:
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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
28.
ＥＢ
by Yves Nievergelt
目次情報:
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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:
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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
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
ＥＢ
