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Generalized multiresolution analyses

Author: Kathy Donovan Merrill
Publisher: Cham, Switzerland : Birkhäuser, [2018]
Series: Applied and numerical harmonic analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kathy Donovan Merrill
ISBN: 9783319991757 3319991752
OCLC Number: 1056952121
Description: 1 online resource.
Contents: Introduction --
The invariance of the core subsace --
The multiplicity function --
Wavelet sets --
Generalized filters --
Fractal spaces --
Composite dilations and crystallographic groups --
Abstract constructions of GMRAs.
Series Title: Applied and numerical harmonic analysis.
Responsibility: Kathy D. Merrill.

Abstract:

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.

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"It is well-suited for graduate students who want to become familiar with this interesting topic and to researchers who would like to get a quick overview over the area." (Peter Massopust, zbMATH Read more...

 
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