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Fourier Analysis and Applications

Filtering, Numerical Computation, Wavelets

  • Claude Gasquet
  • Patrick Witomski

Part of the Texts in Applied Mathematics book series (TAM, volume 30)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Signals and Systems

    1. Front Matter
      Pages 1-1
    2. Claude Gasquet, Patrick Witomski
      Pages 3-10
    3. Claude Gasquet, Patrick Witomski
      Pages 11-19
  3. Periodic Signals

    1. Front Matter
      Pages 21-21
    2. Claude Gasquet, Patrick Witomski
      Pages 23-26
    3. Claude Gasquet, Patrick Witomski
      Pages 27-37
    4. Claude Gasquet, Patrick Witomski
      Pages 39-50
    5. Claude Gasquet, Patrick Witomski
      Pages 51-56
    6. Claude Gasquet, Patrick Witomski
      Pages 57-62
  4. The Discrete Fourier Transform and Numerical Computations

    1. Front Matter
      Pages 63-63
    2. Claude Gasquet, Patrick Witomski
      Pages 65-73
    3. Claude Gasquet, Patrick Witomski
      Pages 75-84
    4. Claude Gasquet, Patrick Witomski
      Pages 85-94
  5. The Lebesgue Integral

    1. Front Matter
      Pages 95-95
    2. Claude Gasquet, Patrick Witomski
      Pages 97-100
    3. Claude Gasquet, Patrick Witomski
      Pages 101-109
    4. Claude Gasquet, Patrick Witomski
      Pages 111-120
    5. Claude Gasquet, Patrick Witomski
      Pages 121-130
  6. Spaces

    1. Front Matter
      Pages 131-131
    2. Claude Gasquet, Patrick Witomski
      Pages 133-140
    3. Claude Gasquet, Patrick Witomski
      Pages 141-152
  7. Convolution and the Fourier Transform of Functions

    1. Front Matter
      Pages 153-153
    2. Claude Gasquet, Patrick Witomski
      Pages 155-161
    3. Claude Gasquet, Patrick Witomski
      Pages 163-170
    4. Claude Gasquet, Patrick Witomski
      Pages 171-175
    5. Claude Gasquet, Patrick Witomski
      Pages 177-185
    6. Claude Gasquet, Patrick Witomski
      Pages 187-192
    7. Claude Gasquet, Patrick Witomski
      Pages 193-199
    8. Claude Gasquet, Patrick Witomski
      Pages 201-207
  8. Analog Filters

    1. Front Matter
      Pages 209-209
    2. Claude Gasquet, Patrick Witomski
      Pages 211-219
    3. Claude Gasquet, Patrick Witomski
      Pages 221-232
  9. Distributions

    1. Front Matter
      Pages 233-233
    2. Claude Gasquet, Patrick Witomski
      Pages 235-242
    3. Claude Gasquet, Patrick Witomski
      Pages 243-250
    4. Claude Gasquet, Patrick Witomski
      Pages 251-264
    5. Claude Gasquet, Patrick Witomski
      Pages 265-274
    6. Claude Gasquet, Patrick Witomski
      Pages 275-279
  10. Convolution and the Fourier Transform of Distributions

    1. Front Matter
      Pages 281-281
    2. Claude Gasquet, Patrick Witomski
      Pages 283-296
    3. Claude Gasquet, Patrick Witomski
      Pages 297-309
    4. Claude Gasquet, Patrick Witomski
      Pages 311-316
  11. Filters and Distributions

    1. Front Matter
      Pages 317-317
    2. Claude Gasquet, Patrick Witomski
      Pages 319-324
    3. Claude Gasquet, Patrick Witomski
      Pages 325-332
  12. Sampling and Discrete Filters

    1. Front Matter
      Pages 333-333
    2. Claude Gasquet, Patrick Witomski
      Pages 335-342
    3. Claude Gasquet, Patrick Witomski
      Pages 343-352
    4. Claude Gasquet, Patrick Witomski
      Pages 353-363

About this book

Keywords

Fourier transform Gabor transform Signal Wavelet analysis convolution discrete Fourier transform modeling signal analysis

Authors and affiliations

  • Claude Gasquet
    • 1
  • Patrick Witomski
    • 2
  1. 1.Université Joseph Fourier (Grenoble I)France
  2. 2.Laboratoire LMC-IMAGTour IRMAGrenoble, Cedex 09France

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1598-1
  • Copyright Information Springer-Verlag New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7211-3
  • Online ISBN 978-1-4612-1598-1
  • Series Print ISSN 0939-2475
  • Series Online ISSN 2196-9949
  • Buy this book on publisher's site
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