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Affine density in wavelet analysis

Author: Gitta Kutyniok
Publisher: Berlin ; New York : Springer, ©2007.
Series: LNCS sublibrary., SL 4,, Security and cryptology.; Lecture notes in mathematics (Springer-Verlag), 1914.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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,  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gitta Kutyniok
ISBN: 354072916X 9783540729167 9783540729495 3540729496
OCLC Number: 172963153
Description: xii, 138 pages ; 24 cm.
Contents: 1. Introduction --
2. Wavelet and Gabor frames --
3. Weighted affine density --
4. Qualitative density conditions --
5. Quantitative density conditions --
6. Homogenous approximation property --
7. Weighted Beurling density and shift-invariant Gabor systems.
Series Title: LNCS sublibrary., SL 4,, Security and cryptology.; Lecture notes in mathematics (Springer-Verlag), 1914.
Responsibility: Gitta Kutyniok.

Abstract:

This volume provides a thorough and comprehensive treatment of irregular wavelet frames. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and  Read more...

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