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  • © 2013

Excursions in Harmonic Analysis, Volume 1

The February Fourier Talks at the Norbert Wiener Center

Birkhäuser
  • 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
  2. Sampling Theory

    1. Front Matter

      Pages 1-3
  3. Sampling Theory

    1. Fusion Frames and Unbiased Basic Sequences

      • Bernhard G. Bodmann, Peter G. Casazza, Jesse D. Peterson, Ihar Smalyanau, Janet C. Tremain
      Pages 19-34
    2. Sampling in Spaces of Bandlimited Functions on Commutative Spaces

      • Jens Gerlach Christensen, Gestur Ă“lafsson
      Pages 35-69
    3. An Overview of Time and Multiband Limiting

      • Joseph D. Lakey
      Pages 85-106
    4. A Panorama of Sampling Theory

      • Kabe Moen, Hrvoje Ĺ ikić, Guido Weiss, Edward Wilson
      Pages 107-123
  4. Remote Sensing

    1. Front Matter

      Pages 125-127
  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. 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
  7. Mathematics of Data Processing

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

      • Guangliang Chen, Anna V. Little, Mauro Maggioni
      Pages 259-285
    2. On the Fourth-Order Structure Function of a Fractal Process

      • Carol T. Christou, Garry M. Jacyna
      Pages 287-296
    3. Harmonic Analysis of Databases and Matrices

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

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

About the editors



Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access