Excursions in Harmonic Analysis, Volume 1

This book gathers contributions from the February Fourier Talks at the Norbert Wiener Center for Harmonic Analysis and Applications, 2006-2011. Covers Sampling Theory, Remote Sensing, Measure Theory, Filtering Operator Theory, Biomathematics and more.

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.

Presents a wealth of cutting-edge research selected over six years of annual talks Draws on contributions from a wide range of practicioners and researchers in academia, industry, and government Offers new avenues for exploration in harmonic analysis and its applications Unparalleled in breadth and depth of topics covered Includes supplementary material: sn.pub/extras

Autorentext

Inhalt
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.