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- Title
Banach Framed, Decay in the Context of Localization.
- Authors
Futamura, Fumiko
- Abstract
We introduce a new definition of localization for frames which eliminates the dependence on the indexing of the frames. Two main results of Gröchenig are extended to this definition, namely that the dual of a localized frame is also localized, and a frame localized with respect to another frame is a Banach frame for the associated family of Banach spaces. These results parallel the results of a more recent paper by Fornasier and Gröchenig.
- Subjects
LOCALIZATION theory; FRAMES (Vector analysis); BANACH spaces; COMPLEX variables; GROUP theory
- Publication
Sampling Theory in Signal & Image Processing, 2007, Vol 6, Issue 2, p151
- ISSN
1530-6429
- Publication type
Article
- DOI
10.1007/bf03549469