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book: Fundamental Papers in Wavelet Theory
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Fundamental Papers in Wavelet Theory

  • Christopher Heil and David F. Walnut
  • Preface by: Ingrid Daubechies
Language: English
Published/Copyright: 2006
View more publications by Princeton University Press

About this book

This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction.


This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German.


Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.

Author / Editor information

Chris Heil is Professor of Mathematics at the Georgia Institute of Technology. His research interests are in harmonic analysis, especially time-frequency and time-scale methods and their applications. David Walnut is Professor of Mathematics at George Mason University. His research interests are also in harmonic analysis, especially sampling theory, Radon transforms, and tomography. He is the author of Introduction to Wavelet Analysis. Ingrid Daubechies is the author of Ten Lectures on Wavelets, which won the American Mathematical Society's 1994 Leroy P. Steele Prize for exposition.

Reviews

"The history of wavelets is no longer an orphan left in cold storage. Fundamental Papers in Wavelet Theory is a hugely successful endeavor that will take are of future progress and study in the area."

"An important and welcome book, containing a striking range of papers. The introduction by John Benedetto is a delight."—Steve Krantz, Washington University

"An excellent book. This is a first-class reference for the history of wavelets. "—Gilbert Strang, Massachusetts Institute of Technology


Publicly Available Download PDF
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Christopher Heil and David Walnut
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Ingrid Daubechies
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John J. Benedetto
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Section I. Precursors in Signal Processing

Jelena Kovačević
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Peter J. Burt and EDWARD H. ADELSON
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R. E. Crochiere, S. A. Webber and J . L. Flanagan
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37

D. Esteban and C. Galand
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54

M.J.T. Smith and T. P. Barnwell
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Fred Mintzer
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Martin VETIERLI
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P Vaidyanathan
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SECTION II. Precursors in Physics: Affine Coherent States

Jean-Pierre Antoine
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A. Grossmann and J. Morlet
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A. Grossmann, J. Morlet and T. Paul
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Section III. Precursors in Mathematics: Early Wavelet Bases

Hans G. Feichtinger
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149

Alfred Haar and Georg Zimmermann
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155

Philip Franklin
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Jan-Olov Strömberg
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Yves Meyer
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P. G. Lemarié and Y. Meyer
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Guy Battle
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Yves Meyer
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Ronald R. Coifman and Guido Weiss
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Ingrid Daubechies, A. Grossmann and Y. Meyer
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Michael Frazier and Björn Ja Werth
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Hans G. Feichtinger and K. H. Gröchenig
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Ingrid Daubechies
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Section V. Multiresolution Analysis

Guido Weiss
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Stephane G. Mallat
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Yves Meyer
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Stephane G. Mallat
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A. Cohen and Robert D. Ryan
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Wayne M. Lawton
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Ingrid Daubechles
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SECTION VI. Multidimensional Wavelets

Guido Weiss
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Yves Meyer and John Horváth
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Karlheinz Gröchenig and Robert D. Ryan
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Jelena Kovácević and Martin Vetterli
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K. Gröchenig and W. R. Madych
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SECTION VII. Selected Applications

Mladen Victor Wickerhauser
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G. Beylkin, R. Coifman and V. Rokhlin
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Ronald A. DeVore, Björn Jawerth and Vasil Popov
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David L. Donoho and Iain M. Johnstone
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Stéphane Jaffard and Robert D. Ryan
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Jerome M. Shapiro
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
January 10, 2009
eBook ISBN:
9781400827268
Edition:
Course Book
Pages and Images/Illustrations in book
Main content:
912
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