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Affine Density in Wavelet Analysis (Lecture Notes in Mathematics) [Paperback]

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Item description for Affine Density in Wavelet Analysis (Lecture Notes in Mathematics) by Gitta Kutyniok...

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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Item Specifications...


Pages   142
Est. Packaging Dimensions:   Length: 9.1" Width: 6.1" Height: 0.4"
Weight:   0.6 lbs.
Binding  Softcover
Release Date   Sep 10, 2007
Publisher   Springer
ISBN  354072916X  
ISBN13  9783540729167  


Availability  0 units.


More About Gitta Kutyniok


Register your artisan biography and upload your photo! Gitta Kutyniok is an Einstein Professor in the Department of Mathematics at the Technische Universitat Berlin, Germany. She has been a Postdoctoral Fellow at Princeton, Stanford, and Yale Universities, and a Full Professor at the Universitat Osnabruck, Germany. Her research and teaching has been recognized by various awards, including a Heisenberg Fellowship and the von Kaven Prize by the German Research Foundation, an Einstein Chair by the Einstein Foundation in Berlin, awards by the Universitat Paderborn and the Justus-Liebig Universitat Giessen for Excellence Research, as well as the Weierstrass Prize for Outstanding Teaching. She is an Associate Editor and also Corresponding Editor for several journals in the areas of applied mathematics.

Gitta Kutyniok has an academic affiliation as follows - Technische Universit??t Berlin Technische Universitat Berlin Technisch.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
5Books > Subjects > Science > General
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7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
9Books > Subjects > Science > Mathematics > Mathematical Analysis
10Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis



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