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Wavelet Theory and Harmonic Analysis in Applied Sciences

  • C. E. D’Attellis
  • E. M. Fernández-Berdaguer

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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Theory and Implementations

    1. Front Matter
      Pages 1-1
    2. Luis A. Caffarelli, Cristian E. Gutiérrez
      Pages 3-13
    3. Eduardo P. Serrano, Marcela A. Fabio
      Pages 33-72
    4. Akram Aldroubi
      Pages 73-91
    5. S. J. Favier, R. A. Zalik
      Pages 93-117
  3. Applications to Biomedical Sciences

    1. Front Matter
      Pages 141-141
    2. Hervé Rix, Olivier Meste
      Pages 143-153
    3. Marcelo R. Risk, Jamil F. Sobh, Ricardo L. Armentano, Agustín J. Ramírez, J. Philip Saul
      Pages 155-177
    4. Susana Blanco, Silvia Kochen, Rodrigo Quian Quiroga, Luis Riquelme, Osvaldo A. Rosso, Pablo Salgado
      Pages 179-226
    5. Carlos E. D’Attellis, Lucas G. Gamero, Susana I. Isaacson, Ricardo O. Sirne, María E. Torres
      Pages 227-262
  4. Applications in Physical Sciences

    1. Front Matter
      Pages 263-263
    2. N. Roqueiro, E. L. Lima
      Pages 265-299
    3. E. M. Fernández-Berdaguer, J. E. Santos
      Pages 315-327

About this book

Introduction

The idea of this book originated in the works presented at the First Latinamerican Conference on Mathematics in Industry and Medicine, held in Buenos Aires, Argentina, from November 27 to December 1, 1995. A variety of topics were discussed at this meeting. A large percentage of the papers focused on Wavelet and Harmonic Analysis. The theory and applications of this topic shown at the Conference were interesting enough to be published. Based on that we selected some works which make the core of this book. Other papers are contributions written by invited experts in the field to complete the presentation. All the works were written after the Conference. The purpose of this book is to present recent results as well as theo­ retical applied aspects of the subject. We have decided not to include a section devoted to the theoretical foundations of wavelet methods for non­ specialists. There are excellent introductions already available, for example, Chapter one in Wavelets in Medicine and Biology, edited by A. Aldroubi and M. Unser, 1996, or some of the references cited in the chapter.

Keywords

Analysis Frames Gabor transform Singular integral Volume electrocardiogram (ECG) equation fourier analysis harmonic analysis information theory interaction modeling modelling wavelet wavelet transform

Editors and affiliations

  • C. E. D’Attellis
    • 1
  • E. M. Fernández-Berdaguer
    • 2
  1. 1.Department of MathematicsUniversity of Buenos AiresBuenos AiresArgentina
  2. 2.Instituto de CálculoCiudad Universitaria — Pabellón IIBuenos AiresArgentina

Bibliographic information