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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.
Produkteigenschaften
- Artikelnummer: 9783540729167
- Medium: Buch
- ISBN: 978-3-540-72916-7
- Verlag: Springer
- Erscheinungstermin: 12.07.2007
- Sprache(n): Englisch
- Auflage: 2007
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 248 g
- Seiten: 143
- Format (B x H x T): 155 x 235 x 9 mm
- Ausgabetyp: Kein, Unbekannt