Affine Density in Wavelet Analysis (Lecture Notes in Mathematics) - Couverture souple

Kutyniok, Gitta

Couverture souple

ISBN 10 : 354072916X ISBN 13 : 9783540729167

Editeur : Springer, 2007

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 354072916X
• ISBN 13: 9783540729167
• Reliure: Broché
• Nombre de pages: 156
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne