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Affine Density in Wavelet Analysis

By (author) Gitta Kutyniok

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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.

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Normally shipped | Available from overseas. Usually dispatched in 14 days
Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Published date | 12 Jul 2007
Language |
Format | Paperback / softback
Pages | 143
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-5407-2916-7
Readership Age |
BISAC | mathematics / mathematical analysis

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