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Proceedings Paper

The unconditional constants of frame expansions and cross-frame expansions
Author(s): Travis Bemrose; Peter G. Casazza; Richard G. Lynch
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Paper Abstract

It was shown in Ref. 1 that the unconditional constant for frame expansions is √B/A, where A and B are the frame bounds of the frame. It was also shown that a Bessel sequence is 1-unconditional if and only if it can be partitioned into an orthogonal sum of tight frames. In Ref. 2 cross-frame expansions were considered. It was shown that as long as the cross-frame expansions stay uniformly bounded away from zero, then similar results could be obtained. In this paper, we summarize these results into one concise source as well as add a few basic results that were not considered before.

Paper Details

Date Published: 24 August 2015
PDF: 7 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 959716 (24 August 2015); doi: 10.1117/12.2186900
Show Author Affiliations
Travis Bemrose, Univ. of Missouri (United States)
Peter G. Casazza, Univ. of Missouri (United States)
Richard G. Lynch, Univ. of Missouri (United States)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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