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Proceedings Paper

Decompositions of frames and a new frame identity
Author(s): Radu Balan; Peter G. Casazza; Dan Edidin; Gitta Kutyniok
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Paper Abstract

We analyze a fundamental question in Hilbert space frame theory: What is the optimal decomposition of a Parseval frame? We will see that this question impacts several famous unsolved problems in different areas of mathematics. As a step towards the solution of this question, we give a new identity which holds for all Parseval frames.

Paper Details

Date Published: 17 September 2005
PDF: 10 pages
Proc. SPIE 5914, Wavelets XI, 591417 (17 September 2005); doi: 10.1117/12.615311
Show Author Affiliations
Radu Balan, Siemens Corporate Research (United States)
Peter G. Casazza, Univ. of Missouri, Columbia (United States)
Dan Edidin, Univ. of Missouri, Columbia (United States)
Gitta Kutyniok, Justus-Liebig-Univ. Giessen (Germany)


Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)

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