Generalized Multiresolution Analyses

Language: English

Published by Springer, 2018

3319991744 / 9783319991740

Series: Book 73 of 88 - Applied and Numerical Harmonic Analysis

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the author's pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting.Beginning with the basic properties of GMRAs, the book goes on to explore the multiplicity and dimension functions of GMRA, wavelet sets, and generalized filters. The author's constructions of wavelet sets feature prominently, with figures to illustrate their remarkably simple geometric form. The last three chapters exhibit extensions of wavelet theory and GMRAs to other settings. These include fractal spaces, wavelets with composite dilations, and abstract constructions of GMRAs beyond the usual setting ofL2( n).This account of recent developments in wavelet theory will appeal to researchers and graduate students with an interest in multiscale analysis from a pure or applied perspective. Familiarity with harmonic analysis and operator theory will be helpful to the reader, though the only prerequisite is graduate level experience with real and functional analysis.…

Seller Inventory # 9783319991740

Title
Generalized Multiresolution Analyses
Author
Kathy D. Merrill
Publisher
Springer
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319991744
ISBN 13
9783319991740
Item weight
201 grams
Dimensions
235x155x8 mm
Series
Book 73 of 88: Applied and Numerical Harmonic Analysis

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

Shipping rates from Germany to U.S.A.

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