Overcompleteness of coherent frames for unimodular amenable groups

2022/09/08 by Caspers, Martijn, van Velthoven, Jordy Timo · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2209.03719

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.

Cited by

• Frame redundancy and Beurling density

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