Pseudo-Differential Operators

Discrete Fourier Analysis

Authors: Wong, M. W.

  • The mathematical notions are presented both on a basic level, making thus the content accessible to a wide audience, and later on, on a more sophisticated level, which can bring students more effectively to the frontier of research
  • Pseudo-differential operators are presented in the perspectives of signal analysis
  • Exercises are included to enhance the use of the book as a textbook
  • Includes introduction to wavelets and to pseudo-differential operators
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About this Textbook

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.

About the authors

M. W. Wong is currently Chair of Department of Mathematics and Statistics at York University, Toronto (Canada), past-President (2005-07 and 2007-09) of the International Society for Analysis, its Applications and Computation (ISAAC) and Director of the ISAAC Special Interest Group in Pseudo-Differential Operators (IGPDO).

Table of contents (23 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-0348-0116-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-0348-0115-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Discrete Fourier Analysis
Authors
Series Title
Pseudo-Differential Operators
Series Volume
5
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0116-4
DOI
10.1007/978-3-0348-0116-4
Softcover ISBN
978-3-0348-0115-7
Series ISSN
2297-0355
Edition Number
1
Number of Pages
VIII, 177
Number of Illustrations and Tables
1 illustrations in colour
Topics