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Fundamental Papers in Wavelet Theory

Fundamental Papers in Wavelet Theory

Christopher Heil, David F. Walnut

878 pages, parution le 27/06/2006

Résumé

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.

L'auteur - Christopher Heil

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.

L'auteur - David F. Walnut

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.

Sommaire

  • Contributor Affiliations
  • Preface
  • Acknowledgments
  • Foreword
  • Introduction
  • Precursors in Signal Processing
  • Precursors in Physics: Affine Coherent States
  • Precursors in Mathematics: Early Wavelet Bases
  • Precursors and Development in Mathematics: Atoms and Frame Decompositions
  • Multiresolution Analysis
  • Multidimensional Wavelets
  • Selected Applications
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Caractéristiques techniques

  PAPIER
Éditeur(s) Princeton University Press
Auteur(s) Christopher Heil, David F. Walnut
Parution 27/06/2006
Nb. de pages 878
Format 21,5 x 26,5
Couverture Broché
Poids 2254g
Intérieur Noir et Blanc
EAN13 9780691127057
ISBN13 978-0-691-12705-7

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