Affine Density in Wavelet Analysis (Lecture Notes in Mathematics, 1914) - Softcover

Kutyniok, Gitta

Softcover

ISBN 10: 354072916X ISBN 13: 9783540729167

Publisher: Springer, 2007

Synopsis

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.

About this title

From the Back Cover:

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.

About this edition

• Publisher: Springer
• Publication date: 2007
• ISBN 10: 354072916X
• ISBN 13: 9783540729167
• Binding: Paperback
• Number of pages: 155