Translator Disclaimer
24 August 2015 The unconditional constants of frame expansions and cross-frame expansions
Author Affiliations +
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.
© (2015) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Travis Bemrose, Peter G. Casazza, and Richard G. Lynch "The unconditional constants of frame expansions and cross-frame expansions", Proc. SPIE 9597, Wavelets and Sparsity XVI, 959716 (24 August 2015);


Phase retrieval
Proceedings of SPIE (September 14 2015)
Decompositions of frames and a new frame identity
Proceedings of SPIE (September 17 2005)
Projections of frames
Proceedings of SPIE (September 17 2005)

Back to Top