Affine Density in Wavelet Analysis (Lecture Notes in Mathematics): 1914 - Brossura

Kutyniok, Gitta

Brossura

ISBN 10: 354072916X ISBN 13: 9783540729167

Casa editrice: Springer, 2007

Riassunto

This volume provides a thorough and comprehensive treatment of irregular wavelet frames. It introduces and employs a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 354072916X
• ISBN 13: 9783540729167
• Rilegatura: Copertina flessibile
• Numero di pagine: 156
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania