Browsing Graduate School (MU) by Thesis Advisor "Casazza, Peter G., 1945"
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Frames and projections
(University of MissouriColumbia, 2013)In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ... 
Fusion frame constructions and frame partitions
(University of MissouriColumbia, 2013)Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ...