
Proceedings Paper
Duality principles, localization of frames, and Gabor theoryFormat | Member Price | Non-Member Price |
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$17.00 | $21.00 |
Paper Abstract
The theory of localized frames is a recently introduced concept with
broad implications to frame theory in general, as well as to the
special cases of Gabor and wavelet frames. Using the new notion of a
R-dual sequence associated with a Bessel sequence, we derive
several duality principles concerning localization in abstract frame
theory. As applications of our results we prove a duality principle
of localization of Gabor systems in the spirit of the Ron-Shen
duality principle, and obtain a Janssen representation for general
frame operators.
Paper Details
Date Published: 17 September 2005
PDF: 9 pages
Proc. SPIE 5914, Wavelets XI, 591418 (17 September 2005); doi: 10.1117/12.615440
Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)
PDF: 9 pages
Proc. SPIE 5914, Wavelets XI, 591418 (17 September 2005); doi: 10.1117/12.615440
Show Author Affiliations
Peter G. Casazza, Univ. of Missouri, Columbia (United States)
Gitta Kutyniok, Justus-Liebig-Univ. Giessen (Germany)
Gitta Kutyniok, Justus-Liebig-Univ. Giessen (Germany)
Mark C. Lammers, Univ. of North Carolina at Wilmington (United States)
Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)
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