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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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- EditoreBirkhäuser
- Data di pubblicazione2018
- ISBN 10 3319991744
- ISBN 13 9783319991740
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero edizione1
- Numero di pagine124
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Generalized Multiresolution Analyses.
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Cham, Springer International Publishing/Birkhäuser., 2019
ISBN 10: 3319991744
ISBN 13: 9783319991740
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Da: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germania
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1st edition 2019. 23.5 cm x 15.5 cm. X, 100 p. Softcover. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Applied and Numerical Harmonic Analysis; Lecture Notes in Applied and Numerical Harmonic Analysis. Sprache: Englisch. Codice articolo 293NB
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Generalized Multiresolution Analyses (Applied and Numerical Harmonic Analysis)
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Generalized Multiresolution Analyses (Applied and Numerical Harmonic Analysis)
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Generalized Multiresolution Analyses (Applied and Numerical Harmonic Analysis)
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Generalized Multiresolution Analyses
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Springer International Publishing Okt 2018, 2018
ISBN 10: 3319991744
ISBN 13: 9783319991740
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 124 pp. Englisch. Codice articolo 9783319991740
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Generalized Multiresolution Analyses
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Generalized Multiresolution Analyses
ISBN 10: 3319991744
ISBN 13: 9783319991740
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. 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. Codice articolo 9783319991740
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