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Wavelets, Their Friends, and What They Can Do for You
Martin J. Mohlenkamp, Ohio University, Athens, OH, and María Cristina Pereyra, University of New Mexico, Albuquerque, NM
A publication of the European Mathematical Society.
cover
EMS Series of Lectures in Mathematics
2008; 119 pp; softcover
Volume: 8
ISBN-10: 3-03719-018-3
ISBN-13: 978-3-03719-018-0
List Price: US$32
Member Price: US$25.60
Order Code: EMSSERLEC/8
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These notes introduce the central concepts surrounding wavelets and their applications. By focusing on the essential ideas and arguments, the authors enable readers to get to the heart of the matter as quickly as possible. A list of references guides readers interested in further study to the appropriate places in the literature for detailed proofs and real applications.

The authors begin with the notion of time-frequency analysis, present the multiresolution analysis and basic wavelet construction, introduce the many friends, relatives, and mutations of wavelets, and finally give a selection of applications.

This book is suitable for beginning graduate students and above. A preliminary chapter containing some of the prerequisite concepts and definitions is included for reference.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in analysis.

Table of Contents

  • Preliminaries
  • Time-frequency analysis
  • Multiresolution analysis and wavelets
  • Friends, relatives, and mutations of wavelets
  • Assorted applications
  • References and further reading
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