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  • © 2015

Excursions in Harmonic Analysis, Volume 4

The February Fourier Talks at the Norbert Wiener Center

Birkhäuser
  • Presents state-of-the-art results in gabor theory, applications and algorithms in the physical sciences, signal processing and sampling, and theoretical harmonic analysis
  • Written and reviewed by the leading experts in the field
  • Selected from over ten years of annual talks at the Norbert Wiener Center

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

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xviii
  2. Theoretical Harmonic Analysis

    1. Front Matter

      Pages 1-2
    2. Bridging erasures and the infrastructure of frames

      • David Larson, Sam Scholze
      Pages 27-64
    3. Choosing Function Spaces in Harmonic Analysis

      • Hans G. Feichtinger
      Pages 65-101
    4. Existence of frames with prescribed norms and frame operator

      • Marcin Bownik, John Jasper
      Pages 103-117
  3. Sparsity

    1. Front Matter

      Pages 119-121
    2. Phase Transitions in Phase Retrieval

      • Dustin G. Mixon
      Pages 123-147
    3. Sparsity-Assisted Signal Smoothing

      • Ivan W. Selesnick
      Pages 149-176
    4. A Message-Passing Approach to Phase Retrieval of Sparse Signals

      • Philip Schniter, Sundeep Rangan
      Pages 177-204
  4. Signal Processing and Sampling

    1. Front Matter

      Pages 229-230
    2. Finite Dimensional Dynamical Sampling: An Overview

      • Akram Aldroubi, Ilya Krishtal, Eric Weber
      Pages 231-244
    3. Signal Processing on Weighted Line Graphs

      • Aliaksei Sandryhaila, Jelena Kovačević
      Pages 245-259
    4. Adaptive Signal Processing

      • Stephen D. Casey
      Pages 261-290
    5. Cornerstones of Sampling of Operator Theory

      • David Walnut, Götz E. Pfander, Thomas Kailath
      Pages 291-332
  5. Spectral Analysis and Correlations

    1. Front Matter

      Pages 333-334
    2. Spectral Correlation Hub Screening of Multivariate Time Series

      • Hamed Firouzi, Dennis Wei, Alfred O. Hero III
      Pages 335-366
    3. A Spectral Analysis Approach for Experimental Designs

      • R. A. Bailey, Persi Diaconis, Daniel N. Rockmore, Chris Rowley
      Pages 367-395

About this book

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.

Editors and Affiliations

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

    Radu Balan, Matthew Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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