Harmonic Analysis and Applications

In Honor of John J. Benedetto

  • Christopher Heil

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

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Harmonic Analysis

    1. Front Matter
      Pages 1-1
    2. Hans P. Heinig
      Pages 17-23
    3. Georg Zimmermann
      Pages 25-48
  3. Frame Theory

    1. Front Matter
      Pages 49-49
    2. Peter G. Casazza, Matthew Fickus, Jelena Kovačević, Manuel T. Leon, Janet C. Tremain
      Pages 51-76
  4. Time-Frequency Analysis

    1. Front Matter
      Pages 77-77
    2. Wojciech Czaja, Alexander M. Powell
      Pages 79-100
    3. Eric Hayashi, Shidong Li, Tracy Sorrells
      Pages 127-137
    4. Christopher Heil
      Pages 171-206
  5. Wavelet Theory

    1. Front Matter
      Pages 207-207
    2. David Larson, Eckart Schulz, Darrin Speegle, Keith F. Taylor
      Pages 209-230
    3. Kanghui Guo, Demetrio Labate, Wang-Q Lim, Guido Weiss, Edward Wilson
      Pages 231-250
  6. Sampling Theory and Shift-Invariant Spaces

    1. Front Matter
      Pages 251-251
    2. Jeffrey A. Hogan, Joseph D. Lakey
      Pages 253-287
    3. Bjarte Rom, David Walnut
      Pages 289-323
    4. Akram Aldroubi, Carlos Cabrelli, Ursula Molter
      Pages 325-333
    5. Lawrence Baggett
      Pages 335-357
    6. Peter G. Casazza, Ole Christensen, Shidong Li, Alexander Lindner
      Pages 359-369
  7. Back Matter
    Pages 371-374

About this book


John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The invited chapters pay tribute to John’s many achievements and express an appreciation for both the mathematical and personal inspiration he has given to so many students, coauthors, and colleagues.

Although the scope of the book is broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected here are written by prominent, well-respected researchers and professionals in the field of harmonic analysis. The book is divided into the following five sections:


* Classical harmonic analysis

* Frame theory

* Time-frequency analysis

* Wavelet theory

* Sampling theory and shift-invariant spaces


Harmonic Analysis and Applications is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Contributors: A. Aldroubi, L. Baggett, G. Benke, C. Cabrelli, P.G. Casazza, O. Christensen, W. Czaja, M. Fickus, J.-P. Gabardo, K. Gröchenig, K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J.A. Hogan, E. Kovacevic, D. Labate, J.D. Lakey, D. Larson, M.T. Leon, S. Li, W.-Q Lim, A. Lindner, U. Molter, A.M. Powell, B. Rom, E. Schulz, T. Sorrells, D. Speegle, K.F. Taylor, J.C. Tremain, D. Walnut, G. Weiss, E. Wilson, G. Zimmermann



Benedetto, John J. distribution frame theory harmonic analysis sampling theory shift-invariant spaces time-frequency analysis wavelet theory weighted-norm inequalities

Editors and affiliations

  • Christopher Heil
    • 1
  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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