Atlantis Studies in Mathematics for Engineering and Science

THE WAVELET TRANSFORM

Authors: Pathak, Ram Shankar

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  • ISBN 978-94-91216-24-4
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About this book

The wavelet transform has emerged as one of the most promising function transforms with great potential in applications during the last four decades. The present monograph is an outcome of the recent researches by the author and his co-workers, most of which are not available in a book form. Nevertheless, it also contains the results of many other celebrated workers of the ?eld. The aim of the book is to enrich the theory of the wavelet transform and to provide new directions for further research in theory and applications of the wavelet transform. The book does not contain any sophisticated Mathematics. It is intended for graduate students of Mathematics, Physics and Engineering sciences, as well as interested researchers from other ?elds. The Fourier transform has wide applications in Pure and Applied Mathematics, Physics and Engineering sciences; but sometimes one has to make compromise with the results obtainedbytheFouriertransformwiththephysicalintuitions. ThereasonisthattheFourier transform does not re?ect the evolution over time of the (physical) spectrum and thus it contains no local information. The continuous wavelet transform (W f)(b,a), involving ? wavelet ?, translation parameterb and dilation parametera, overcomes these drawbacks of the Fourier transform by representing signals (time dependent functions) in the phase space (time/frequency) plane with a local frequency resolution. The Fourier transform is p n restricted to the domain L (R ) with 1 p 2, whereas the wavelet transform can be de?ned for 1 p

Table of contents (10 chapters)

  • An Overview

    Pathak, Ram Shankar

    Pages 1-20

  • TheWavelet Transform on Lp

    Pathak, Ram Shankar

    Pages 21-48

  • Composition ofWavelet Transforms

    Pathak, Ram Shankar

    Pages 49-65

  • TheWavelet Transform on Spaces of Type S

    Pathak, Ram Shankar

    Pages 67-82

  • The Wavelet Transform on Spaces of Type W

    Pathak, Ram Shankar

    Pages 83-91

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-94-91216-24-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
THE WAVELET TRANSFORM
Authors
Series Title
Atlantis Studies in Mathematics for Engineering and Science
Series Volume
4
Copyright
2009
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the authors
eBook ISBN
978-94-91216-24-4
DOI
10.2991/978-94-91216-24-4
Series ISSN
1875-7642
Edition Number
1
Number of Pages
XIII, 178
Topics