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1. Linear Systems
by Panos J. Antsaklis, Anthony N. Michel
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4435-0
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電子ブック
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2. A Basis Theory Primer : Expanded Edition
by Christopher Heil
出版情報: Boston : Springer Science+Business Media, LLC 2011, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4687-5
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3. Wavelets and Multiscale Analysis : Theory and Applications
edited by Jonathan Cohen, Ahmed I. Zayed
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8095-4
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4. Excursions in Harmonic Analysis, Volume 1 : The February Fourier Talks at the Norbert Wiener Center
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8376-4
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目次情報: 続きを見る
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
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5. Excursions in Harmonic Analysis, Volume 2 : The February Fourier Talks at the Norbert Wiener Center
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8379-5
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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
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6. Prolate Spheroidal Wave Functions of Order Zero : Mathematical Tools for Bandlimited Approximation
by Andrei Osipov, Vladimir Rokhlin, Hong Xiao
出版情報: Boston, MA : Springer US : Imprint: Springer, 2013
シリーズ名: Applied Mathematical Sciences ; 187
オンライン: http://dx.doi.org/10.1007/978-1-4614-8259-8
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Introduction
Mathematical and Numerical Preliminaries
Overview
Analysis of the Differential Operator
Analysis of the Integral Operator
Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs
 Asymptotic Analysis of PSWFs
Quadrature Rules and Interpolation via PSWFs
Numerical Algorithms
Introduction
Mathematical and Numerical Preliminaries
Overview
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7. Sampling Theory, a Renaissance : Compressive Sensing and Other Developments. 1st ed. 2015
edited by Götz E. Pfander
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-319-19749-4
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Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
Low Complexity Regularization of Linear Inverse Problems
Part II: Frames with Benefits
Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems
Fourier Operations in Applied Harmonic Analysis
The Fundamentals of Spectral Tetris Frame Constructions
Part III: Bandlimitation Recast
System Approximation and Generalized Measurements in Modern Sampling Theory
Entire Functions in Generalized Bernstein Spaces and Their Growth Behavior
Sampling and Geometry
A Sheaf-theoretic Perspective on Sampling
Part IV: Solutions of Parametric PDEs
How to Best Sample a Solution Manifold?
On the Stability of Polynomial Interpolation using Hierarchical Sampling
Part V: Implementation
OperA: Operator-based Annihilation for Finite-Rate-of-Innovation Signal Sampling
Digital Adaptive Calibration of Data Converters using Independent Component Analysis
Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
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8. Analysis and Probability Wavelets, Signals, Fractals
by Palle E.T. Jorgensen
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Graduate Texts in Mathematics ; 234
オンライン: http://dx.doi.org/10.1007/978-0-387-33082-2
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9. Algorithmic Information Theory : Mathematics of Digital Information
by Peter Seibt
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Signals and Communication Technology ;
オンライン: http://dx.doi.org/10.1007/978-3-540-33219-0
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