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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Est. Packaging Dimensions: Length: 9.1" Width: 6.1" Height: 0.4" Weight: 0.6 lbs.
Release Date Sep 10, 2007
ISBN 354072916X ISBN13 9783540729167
Availability 0 units.
More About Gitta Kutyniok
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.