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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1914)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Program in Applied and Computational Mathematics, Princeton University, Princeton, USA
Gitta Kutyniok
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Department of Statistics, Stanford University, Stanford, USA
Gitta Kutyniok
Bibliographic Information
Book Title: Affine Density in Wavelet Analysis
Authors: Gitta Kutyniok
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-72949-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-72916-7Published: 12 July 2007
eBook ISBN: 978-3-540-72949-5Published: 07 June 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 143
Topics: Fourier Analysis, Information and Communication, Circuits