Translator Disclaimer
17 September 2005 Duality principles, localization of frames, and Gabor theory
Author Affiliations +
Proceedings Volume 5914, Wavelets XI; 591418 (2005) https://doi.org/10.1117/12.615440
Event: Optics and Photonics 2005, 2005, San Diego, California, United States
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.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Peter G. Casazza, Gitta Kutyniok, and Mark C. Lammers "Duality principles, localization of frames, and Gabor theory", Proc. SPIE 5914, Wavelets XI, 591418 (17 September 2005); https://doi.org/10.1117/12.615440
PROCEEDINGS
9 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT


Back to Top