Wavelets: An Analysis Tool (Oxford Mathematical Monographs) [Hardcover]

Matthius Holschneider (Author)

Book Description

Publication Date: May 11, 1995 | ISBN-10: 0198534817 | ISBN-13: 978-0198534815

Wavelets analysis--a new and rapidly growing field of research--has been applied to a wide range of endeavors, from signal data analysis (geoprospection, speech recognition, and singularity detection) to data compression (image and voice-signals) to pure mathematics. Written in an accessible, user-friendly style, Wavelets: An Analysis Tool offers a self-contained, example-packed introduction to the subject. Taking into account the continuous transform as well as its discretized version (the ortho-normal basis) the book begins by introducing the continuous wavelets transform in one dimension. It goes on to provide detailed discussions of wavelet analysis of regular functions, tempered distributions, square integrable functions, and the continuous wavelet transform. Throughout, the language of group theory is used to unify various approaches. Profusely illustrated and containing information not available elsewhere, this book is ideal for advanced students and researchers in mathematics, physics, and signal processing engineering.

Editorial Reviews

Review

"Most of the book is devoted to a rigorous definition of the CWT, an investigation of its properties, and applications of functional analysis." --Mathematical Reviews

"The book could serve well as a text, reference or tutorial on wavelets. It has a strong theoretical component and contains the foundations for the most current applications of wavelet theory." --Physics Today

"The book is self-contained, covers a lot of ground, has many interesting insights, and, considering its scope, is a significant achievement."--Journal of Statistical Physics

"A nicely written, fairly self-contained introduction to the theory of continuous wavelet transforms and some of its applications. . . .Statisticians might be interested in the very well written introduction (over 100 pages) and the parts of the book that concentrate on the wavelet as a time-frequency analysis tool."--Journal of the American Statistical Association

About the Author

M. Holschneider, C.N.R.S. Luminy, Centre de Physique Theorique, Marseille.

Product Details

• Hardcover: 448 pages
• Publisher: Oxford University Press, USA (May 11, 1995)
• Language: English
• ISBN-10: 0198534817
• ISBN-13: 978-0198534815
• Product Dimensions: 9.5 x 6.4 x 1.1 inches
• Shipping Weight: 1.7 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #5,968,559 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

5.0 out of 5 stars All the proofs:wavelets....Fourier methods., July 7, 2002

By 

Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
(VINE VOICE)    (REAL NAME)   

This review is from: Wavelets: An Analysis Tool (Oxford Mathematical Monographs) (Paperback)

This is a great book from which students, instructors, math researchers, signal processing workers, and communications engineering, can pick
up the rigorous tools from Fourier analysis and sub-band filtering theory;-- and see in full mathematical detail how they are used in the study of wavelets in their traditional settings (from the 1980ties)of scaling of multiresolutions, spectral estimates, orthogonality,
Cohen's condition, tilings, and a priory regularity...The proofs are complete, crisp and elegant. The book can now be supplemented with newer ones that emphasize algorithms more. And others with a more applied bent!
But Holschneider's book will likely remain a classic.