Téléchargez le livre : Generalized Multiresolution Analyses

Generalized Multiresolution Analyses

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Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2018-10-11

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Description

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 of L2(Rn).


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.
Pages
113 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2018-10-11
Marque
Birkhäuser
EAN papier
9783319991740
EAN PDF
9783319991757
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
2509 Ko
Prix
54,44 €
EAN EPUB
9783319991757
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
7004 Ko
Prix
54,44 €

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