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Excursions in Harmonic Analysis, Volume 1

The February Fourier Talks at the Norbert Wiener Center

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  • © 2013

Overview

Editors:
  1. Travis D. Andrews

    1. , Department of Mathematics, University of Maryland, College Park, USA

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  2. Radu Balan

    1. Norbert Wiener Center, Department of Mathematics, University of Maryland, College Park, USA

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  3. John J. Benedetto

    1. Department of Mathematics, University of Maryland, College Park, USA

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  4. Wojciech Czaja

    1. Department of Mathematics, University of Maryland, College Park, USA

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  5. Kasso A. Okoudjou

    1. , Department of Mathematics, University of Maryland, College Park, USA

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  • 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

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Sampling Theory

    1. Front Matter

      Pages 1-3
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  3. Sampling Theory

    1. Unions of Subspaces for Data Modeling and Subspace Clustering

      • Akram Aldroubi
      Pages 5-18

    2. Fusion Frames and Unbiased Basic Sequences

      • Bernhard G. Bodmann, Peter G. Casazza, Jesse D. Peterson, Ihar Smalyanau, Janet C. Tremain
      Pages 19-34

    3. Sampling in Spaces of Bandlimited Functions on Commutative Spaces

      • Jens Gerlach Christensen, Gestur Ólafsson
      Pages 35-69

    4. Smooth Interpolation of Data by Efficient Algorithms

      • C. Fefferman
      Pages 71-84

    5. An Overview of Time and Multiband Limiting

      • Joseph D. Lakey
      Pages 85-106

    6. A Panorama of Sampling Theory

      • Kabe Moen, Hrvoje Šikić, Guido Weiss, Edward Wilson
      Pages 107-123

  4. Remote Sensing

    1. Front Matter

      Pages 125-127
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  5. Remote Sensing

    1. Multistatic Radar Waveforms for Imaging of Moving Targets

      • Margaret Cheney, Brett Borden, Ling Wang
      Pages 129-149

    2. Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer

      • Christopher J. Deloye, J. Christopher Flake, David Kittle, Edward H. Bosch, Robert S. Rand, David J. Brady
      Pages 151-171

    3. An Introduction to Hyperspectral Image Data Modeling

      • David B. Gillis, Jeffrey H. Bowles
      Pages 173-194

    4. Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers

      • John B. Greer
      Pages 195-210

    5. Theory of Passive Synthetic Aperture Imaging

      • Ling Wang, Can Evren Yarman, Birsen Yazıcı
      Pages 211-236

  6. Mathematics of Data Processing

    1. Front Matter

      Pages 237-238
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  7. Mathematics of Data Processing

    1. Golay–Rudin–Shapiro Polynomials and Phased Arrays

      • George Benke
      Pages 239-257

    2. Multi-Resolution Geometric Analysis for Data in High Dimensions

      • Guangliang Chen, Anna V. Little, Mauro Maggioni
      Pages 259-285

    3. On the Fourth-Order Structure Function of a Fractal Process

      • Carol T. Christou, Garry M. Jacyna
      Pages 287-296

    4. Harmonic Analysis of Databases and Matrices

      • Ronald R. Coifman, Matan Gavish
      Pages 297-310

    5. The Structure of Sidelobe-Preserving Operator Groups

      • Gregory E. Coxson
      Pages 311-328
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Keywords

About this book

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.

Editors and Affiliations

  • , Department of Mathematics, University of Maryland, College Park, USA

    Travis D. Andrews, Kasso A. Okoudjou

  • Norbert Wiener Center, Department of Mathematics, University of Maryland, College Park, USA

    Radu Balan

  • Department of Mathematics, University of Maryland, College Park, USA

    John J. Benedetto, Wojciech Czaja

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