Lecture Notes in Mathematics

Affine Density in Wavelet Analysis

Authors: Kutyniok, Gitta

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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.

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-72949-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-72916-7
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Affine Density in Wavelet Analysis
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1914
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-72949-5
DOI
10.1007/978-3-540-72949-5
Softcover ISBN
978-3-540-72916-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 143
Topics