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17 September 2005 Decompositions of frames and a new frame identity
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Proceedings Volume 5914, Wavelets XI; 591417 (2005) https://doi.org/10.1117/12.615311
Event: Optics and Photonics 2005, 2005, San Diego, California, United States
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.
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Radu Balan, Peter G. Casazza, Dan Edidin, and Gitta Kutyniok "Decompositions of frames and a new frame identity", Proc. SPIE 5914, Wavelets XI, 591417 (17 September 2005); https://doi.org/10.1117/12.615311
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