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A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts, Series Number 37) - Softcover
Synopsis
This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in one and in several variables. Starting with a detailed and self-contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. The author discusses wavelet decompositions in Lp spaces, Hardy spaces and Besov spaces and provides wavelet characterizations of those spaces. Also included are periodic wavelets or wavelets not associated with a multiresolution analysis. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.
"synopsis" may belong to another edition of this title.
Book Description
Starting with a detailed and selfcontained discussion of the general construction of one dimensional wavelets from multiresolution analysis, this book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.
Review
"...the book does cover the basic material in a well-organized manner and with detailed explanations about the construction of wavelets. A nice feature of the book is that it has more than a hundred exercises of various levels of difficulty...This monograph is a suitable textbook for an introductory course in modern Fourier analysis and wavelet theory." Rodolfo Torres, Mathematical Reviews, 98j
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1997
- ISBN 10 0521578949
- ISBN 13 9780521578943
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages261
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A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts, Series Number 37)
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Cambridge University Press, 1997
ISBN 10: 0521578949
ISBN 13: 9780521578943
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London Mathematical Society Student Texts: A Mathematical Introduction to Wavelets (Volume 37)
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ISBN 10: 0521578949
ISBN 13: 9780521578943
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A Mathematical Introduction to Wavelets (Volume 37)
Published by
Cambridge University Press, 1997
ISBN 10: 0521578949
ISBN 13: 9780521578943
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Softcover
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A Mathematical Introduction to Wavelets
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A Mathematical Introduction to Wavelets
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A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts, Series Number 37)
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ISBN 13: 9780521578943
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