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arXiv · 2209.03719

Overcompleteness of coherent frames for unimodular amenable groups

Martijn Caspers·Jordy Timo van Velthoven
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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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Martijn Caspers, Jordy Timo van Velthoven. 2022-09-08. Overcompleteness of coherent frames for unimodular amenable groups. https://arxiv.org/abs/2209.03719

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