Ebook: Excursions in Harmonic Analysis, Volume 1: The February Fourier Talks at the Norbert Wiener Center

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.

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.

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.

Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-3
Unions of Subspaces for Data Modeling and Subspace Clustering....Pages 5-18
Fusion Frames and Unbiased Basic Sequences....Pages 19-34
Sampling in Spaces of Bandlimited Functions on Commutative Spaces....Pages 35-69
Smooth Interpolation of Data by Efficient Algorithms....Pages 71-84
An Overview of Time and Multiband Limiting....Pages 85-106
A Panorama of Sampling Theory....Pages 107-123
Front Matter....Pages 125-127
Multistatic Radar Waveforms for Imaging of Moving Targets....Pages 129-149
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer....Pages 151-171
An Introduction to Hyperspectral Image Data Modeling....Pages 173-194
Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers....Pages 195-210
Theory of Passive Synthetic Aperture Imaging....Pages 211-236
Front Matter....Pages 237-238
Golay–Rudin–Shapiro Polynomials and Phased Arrays....Pages 239-257
Multi-Resolution Geometric Analysis for Data in High Dimensions....Pages 259-285
On the Fourth-Order Structure Function of a Fractal Process....Pages 287-296
Harmonic Analysis of Databases and Matrices....Pages 297-310
The Structure of Sidelobe-Preserving Operator Groups....Pages 311-328
Zeros of Some Self-Reciprocal Polynomials....Pages 329-348
Front Matter....Pages 349-351
Generalized Mutual Interdependence Analysis of Noisy Channels....Pages 353-375
Approximation Methods for the Recovery of Shapes and Images from Gradients....Pages 377-398
FM Perturbations due to Near-Identity Linear Systems....Pages 399-431
Front Matter....Pages 349-351
Eddy Current Sensor Signal Processing for Stall Detection....Pages 433-460
State-Dependent Channels: Strong Converse and Bounds on Reliability Function....Pages 461-477
Back Matter....Pages 479-482

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.

Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-3
Unions of Subspaces for Data Modeling and Subspace Clustering....Pages 5-18
Fusion Frames and Unbiased Basic Sequences....Pages 19-34
Sampling in Spaces of Bandlimited Functions on Commutative Spaces....Pages 35-69
Smooth Interpolation of Data by Efficient Algorithms....Pages 71-84
An Overview of Time and Multiband Limiting....Pages 85-106
A Panorama of Sampling Theory....Pages 107-123
Front Matter....Pages 125-127
Multistatic Radar Waveforms for Imaging of Moving Targets....Pages 129-149
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer....Pages 151-171
An Introduction to Hyperspectral Image Data Modeling....Pages 173-194
Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers....Pages 195-210
Theory of Passive Synthetic Aperture Imaging....Pages 211-236
Front Matter....Pages 237-238
Golay–Rudin–Shapiro Polynomials and Phased Arrays....Pages 239-257
Multi-Resolution Geometric Analysis for Data in High Dimensions....Pages 259-285
On the Fourth-Order Structure Function of a Fractal Process....Pages 287-296
Harmonic Analysis of Databases and Matrices....Pages 297-310
The Structure of Sidelobe-Preserving Operator Groups....Pages 311-328
Zeros of Some Self-Reciprocal Polynomials....Pages 329-348
Front Matter....Pages 349-351
Generalized Mutual Interdependence Analysis of Noisy Channels....Pages 353-375
Approximation Methods for the Recovery of Shapes and Images from Gradients....Pages 377-398
FM Perturbations due to Near-Identity Linear Systems....Pages 399-431
Front Matter....Pages 349-351
Eddy Current Sensor Signal Processing for Stall Detection....Pages 433-460
State-Dependent Channels: Strong Converse and Bounds on Reliability Function....Pages 461-477
Back Matter....Pages 479-482
....