Discrete Fourier Analysis

  • M. W. Wong

Part of the Pseudo-Differential Operators book series (PDO, volume 5)

Table of contents

  1. Front Matter
    Pages i-viii
  2. M. W. Wong
    Pages 1-16
  3. M. W. Wong
    Pages 23-25
  4. M. W. Wong
    Pages 27-31
  5. M. W. Wong
    Pages 33-36
  6. M. W. Wong
    Pages 37-39
  7. M. W. Wong
    Pages 41-43
  8. M. W. Wong
    Pages 45-51
  9. M. W. Wong
    Pages 53-59
  10. M. W. Wong
    Pages 61-66
  11. M. W. Wong
    Pages 67-78
  12. M. W. Wong
    Pages 79-86
  13. M. W. Wong
    Pages 87-94
  14. M. W. Wong
    Pages 95-106
  15. M. W. Wong
    Pages 107-112
  16. M. W. Wong
    Pages 113-116
  17. M. W. Wong
    Pages 117-120
  18. M. W. Wong
    Pages 121-124
  19. M. W. Wong
    Pages 125-127
  20. M. W. Wong
    Pages 129-140
  21. Back Matter
    Pages 171-176

About this book


This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis.


The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis.


Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study.

Authors and affiliations

  • M. W. Wong
    • 1
  1. 1.Department of Mathematics & StatisticsYork UniversityTorontoCanada

Bibliographic information