24 August 2015 Perturbations of fusion frames and the effect on their canonical dual
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Abstract
Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations.
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Gitta Kutyniok, Gitta Kutyniok, Victoria Paternostro, Victoria Paternostro, Friedrich Philipp, Friedrich Philipp, } "Perturbations of fusion frames and the effect on their canonical dual", Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970S (24 August 2015); doi: 10.1117/12.2187063; https://doi.org/10.1117/12.2187063
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