Affine Density in Wavelet Analysis - Gitta Kutyniok
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Toimitus 12-18 arkipäivässä
30 päivän palautusoikeus
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 ... Täydellinen kuvaus
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Kuvaus
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.
Lisätietoja
| Kirjoittaja | Gitta Kutyniok |
|---|---|
| Julkaisija | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Julkaisuvuosi | 2007 |
| Kannen tyyppi | Pehmeäkantinen |
| EAN | 9783540729167 |