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Affine Density in Wavelet Analysis 2007 Edition
Contributor(s): Kutyniok, Gitta (Author)

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 ISBN: 354072916X     ISBN-13: 9783540729167
Publisher: Springer
OUR PRICE: $47.45  

Binding Type: Paperback - See All Available Formats & Editions
Published: July 2007
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Annotation: 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.

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Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Applied
Dewey: 515
LCCN: 2007928330
Series: Lecture Notes in Mathematics
Physical Information: 0.38" H x 6.61" W x 9.21" L (0.50 lbs) 143 pages
Features: Bibliography, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:

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.
 
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