Overcompleteness of coherent frames for unimodular amenable groups
Martijn Caspers (TU Delft - Analysis)
Jordy Timo Van Velthoven (TU Delft - Analysis, University of Vienna)
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Abstract
This paper concerns the overcompleteness of coherent frames for unimodular amenable groups. It is shown that for coherent frames associated with a localized vector a set of positive Beurling density can be removed yet still leave a frame. The obtained results extend various theorems of [J. Fourier Anal. Appl., 12(3):307-344, 2006] to frames with non-Abelian index sets.
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