Excursions in harmonic analysis : the February Fourier Talks at the Norbert Wiener Center
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Bibliographic Information
Excursions in harmonic analysis : the February Fourier Talks at the Norbert Wiener Center
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2013-
- v. 1
- v. 2
- v. 3
- v. 4
- v. 5
Available at / 11 libraries
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Science and Technology Library, Kyushu University
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Other authors: Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
Includes bibliographical reference and index
Editors of v. 3-4: Radu Balan, Matthew J. Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
Editors of v. 5: Radu Balan, John J. Benedetto, Wojciech Czaja, Matthew Dellatorre, Kasso A. Okoudjou
Description and Table of Contents
- Volume
-
v. 1 ISBN 9780817683757
Description
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.
This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts:
Volume I
* Sampling Theory
* Remote Sensing
* Mathematics of Data Processing
* Applications of Data Processing
Volume II
* Measure Theory
* Filtering
* Operator Theory
* Biomathematics
Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government.
Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
Table of Contents
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.
- Volume
-
v. 2 ISBN 9780817683788
Description
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.
This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts:
Volume I
* Sampling Theory
* Remote Sensing
* Mathematics of Data Processing
* Applications of Data Processing
Volume II
* Measure Theory
* Filtering
* Operator Theory
* Biomathematics
Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government.
Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
Table of Contents
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.
- Volume
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v. 3 ISBN 9783319132297
Description
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include
* spectral analysis and correlation;
* radar and communications: design, theory, and applications;
* sparsity
* special topics in harmonic analysis.
The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Table of Contents
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.
- Volume
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v. 4 ISBN 9783319201870
Description
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include:
Special Topics in Harmonic Analysis
Applications and Algorithms in the Physical Sciences
Gabor Theory
RADAR and Communications: Design, Theory, and Applications
The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Table of Contents
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.
- Volume
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v. 5 ISBN 9783319547107
Description
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:
Theoretical harmonic analysis
Image and signal processing
Quantization
Algorithms and representations
The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Table of Contents
Time-Frequency Analysis and Representations of the Discrete Heisenberg Group.- Fractional Differentiation: Leibniz Meets Hoelder.- Wavelets and Graph C*-Algebras.- Precise State Tracking Using Three Dimensional Edge Detection.- Approaches for Characterizing Non-Linear Mixtures in Hyperspectral Imagery.- An Application of Spectral Regularization to Machine Learning and Cancer Classification.- Embedding-based Representation of Signal Geometry.- Distributed Noise-Shaping Quantization: II. Classical Frames.- Consistent Reconstruction: Error Moments and Sampling Distributions.- Frame Theory for Signal Processing in Psychoacoustics.- A Flexible Scheme for Constructing (Quasi-)Invariant Signal Representations.- Use of Quillen-Suslin Theorem for Laurent Polynomials in Wavelet Filter Bank Design.- A Fast Fourier Transform for Fractal Approximations.
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