"Fusion Frame Trees and Implementation"Shamsabadi, MitraA fusion frame is a sequence of closed subspaces in a Hilbert space that satisfies a frame-like inequality. Since each closed subspace is a Hilbert space, so the subspaces of a fusion frame can be equipped with fusion frames. This process can be continued and a new structure of fusion frames; so called fusion frame trees can be defined. In fact, the leaves of a fusion frame tree form a fusion frame for the branches. In this paper, we give relations between global fusion frame related operators and fusion frame ones based on local ones (leaves). We also will show which properties can be inherited between local and global fusion frames. Finally, we implement finite fusion frame trees using the Large Time Frequency Analysis Toolbox (LTFAT). |
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