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Generalized Multiresolution Analyses

Af: Kathy D. Merrill Engelsk Paperback

Generalized Multiresolution Analyses

Af: Kathy D. Merrill Engelsk Paperback
Tjek vores konkurrenters priser
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.
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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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 113
ISBN-13: 9783319991740
Indbinding: Paperback
Udgave:
ISBN-10: 3319991744
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 12 okt 2018
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 12 okt 2018
Forfatter(e): Kathy D. Merrill
Forfatter(e) Kathy D. Merrill

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9783319991740

Sprog Engelsk

Indbinding Paperback

Sider 113

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 12 okt 2018

Oplagsdato 12 okt 2018

Forlag Birkhauser Verlag AG

Kategori sammenhænge