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Wavelets

Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France, December 14–18, 1987

  • Jean-Michel Combes
  • Alexander Grossmann
  • Philippe Tchamitchian

Part of the inverse problems and theoretical imaging book series (IPTI)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introduction to Wavelet Transforms

    1. Front Matter
      Pages 1-1
    2. A. Grossmann, R. Kronland-Martinet, J. Morlet
      Pages 2-20
    3. Y. Meyer
      Pages 21-37
  3. Some Topics in Signal Analysis

  4. Wavelets and Signal Processing

  5. Mathematics and Mathematical Physics

  6. Implementations

    1. Front Matter
      Pages 285-285
    2. M. Holschneider, R. Kronland-Martinet, J. Morlet, Ph. Tchamitchian
      Pages 286-297
  7. Back Matter
    Pages 329-331

About these proceedings

Introduction

The last two subjects mentioned in the title "Wavelets, Time Frequency Methods and Phase Space" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position pa­ rameter. Many of the ideas and techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure (R.C.P. "Ondelettes") of the C.N.R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. The conference, the proceedings of which are contained in this volume, was held at the Centre National de Rencontres Mathematiques (C.N.R.M) in Marseille from December 14-18, 1987 and bought together an interdisciplinary mix of par­ ticipants. We hope that these proceedings will convey to the reader some of the excitement and flavor of the meeting.

Keywords

Acoustics Akustik Astronomy und Astrophysik Geophysics, Astronomy and Astrophysics Geophysik Helmholtz equation Information Science Informationswissenschaft Mathematical Methods in Physics Mathematische Methoden der Physik Optics Phase Wave calculus differential equation

Editors and affiliations

  • Jean-Michel Combes
    • 1
  • Alexander Grossmann
    • 1
  • Philippe Tchamitchian
    • 1
  1. 1.Centre National de la Recherche ScientifiqueMarseille Cedex 9France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-75988-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-53014-5
  • Online ISBN 978-3-642-75988-8
  • Series Print ISSN 0938-5509
  • Buy this book on publisher's site