Compact Textbooks in Mathematics

Lecture Notes on Wavelet Transforms

Authors: Debnath, Lokenath, Shah, Firdous

  • Written from the ground up to provide a comprehensive introduction to wavelet analysisProvides an accessible working knowledge of the analytical and computational methods of wavelet analysisConcise, yet highly accessible to both pure and applied mathematicians, as well as scientists and engineers

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eBook 41,64 €
price for India (gross)
  • ISBN 978-3-319-59433-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 49,99 €
price for India (gross)
  • ISBN 978-3-319-59432-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. 

These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets.

The selection, arrangement, and presentation of the material in these lecture notes have carefully been made based on the authors’ teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India. 

About the authors

Lokenath Debnath is a Professor of Mathematics at the University of Texas–Pan American.

Firdous A. Shah is a Professor of Mathematics at the University of Kashmir in India. 

Reviews

“This textbook is mainly written for advanced undergraduates and master students in mathematics, physics, computer sciences, and electrical engineering. It presents a short, well-written introduction to wavelet transforms and the underlying Fourier theory. … This textbook is very convenient for all students interested in an introduction to wavelet transforms.” (Manfred Tasche, zbMATH 1379.42001, 2018)

Table of contents (5 chapters)

  • The Fourier Transforms

    Debnath, Lokenath (et al.)

    Pages 1-54

    Preview Buy Chapter 24,95 €
  • The Time-Frequency Analysis

    Debnath, Lokenath (et al.)

    Pages 55-91

    Preview Buy Chapter 24,95 €
  • The Wavelet Transforms

    Debnath, Lokenath (et al.)

    Pages 93-122

    Preview Buy Chapter 24,95 €
  • Construction of Wavelets via MRA

    Debnath, Lokenath (et al.)

    Pages 123-153

    Preview Buy Chapter 24,95 €
  • Elongations of MRA-Based Wavelets

    Debnath, Lokenath (et al.)

    Pages 155-209

    Preview Buy Chapter 24,95 €

Buy this book

eBook 41,64 €
price for India (gross)
  • ISBN 978-3-319-59433-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 49,99 €
price for India (gross)
  • ISBN 978-3-319-59432-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lecture Notes on Wavelet Transforms
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-59433-0
DOI
10.1007/978-3-319-59433-0
Softcover ISBN
978-3-319-59432-3
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XII, 220
Number of Illustrations and Tables
29 b/w illustrations, 3 illustrations in colour
Topics