Affine Density in Wavelet Analysis (Lecture Notes in Mathematics): Book w. online files/update (Lecture Notes in Mathematics, 1914, Band 1914) - Softcover

Kutyniok, Gitta

 
9783540729167: Affine Density in Wavelet Analysis (Lecture Notes in Mathematics): Book w. online files/update (Lecture Notes in Mathematics, 1914, Band 1914)
Softcover
ISBN 10: 354072916X ISBN 13: 9783540729167
Verlag: Springer, 2007

Inhaltsangabe

In wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of the associated wavelet systems.

This volume provides the first thorough and comprehensive treatment of irregular wavelet frames by introducing and employing a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Many of the results are new and published for the first time. Topics include: qualitative and quantitative density conditions for existence of irregular wavelet frames, non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.

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Von der hinteren Coverseite

In wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of the associated wavelet systems.

This volume provides the first thorough and comprehensive treatment of irregular wavelet frames by introducing and employing a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Many of the results are new and published for the first time. Topics include: qualitative and quantitative density conditions for existence of irregular wavelet frames, non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.

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Verlag
Springer
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
354072916X
ISBN 13 
9783540729167
Einband
Taschenbuch
Anzahl der Seiten
156
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