Coherent systems over approximate lattices in amenable groups

U Enstad, JT van Velthoven - arxiv preprint arxiv:2208.05896, 2022‏ - arxiv.org
Let $ G $ be a second-countable amenable group with a uniform $ k $-approximate lattice
$\Lambda $. For a projective discrete series representation $(\pi,\mathcal {H} _ {\pi}) $ of $ G …

Counting function estimates for coherent frames and Riesz sequences

E Papageorgiou, JT van Velthoven - Annali di Matematica Pura ed …, 2024‏ - Springer
We prove various estimates for the asymptotics of counting functions associated to point sets
of coherent frames and Riesz sequences. The obtained results recover the necessary …

Linear independence of coherent systems associated to discrete subgroups

U Enstad, JT van Velthoven - Bulletin of the London …, 2025‏ - Wiley Online Library
This note considers the finite linear independence of coherent systems associated to
discrete subgroups. We show by simple arguments that such coherent systems of amenable …

Density Conditions for Coherent State Subsystems of Nilpotent Lie Groups

JT van Velthoven - Ghent Methusalem Colloquium, 2021‏ - Springer
Density Conditions for Coherent State Subsystems of Nilpotent Lie Groups | SpringerLink
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[PDF][PDF] Smooth frames in the orbit of a square-integrable representation of a nilpotent Lie group

JT van Velthoven - 2022‏ - jaeh.cc
Smooth frames in the orbit of a square-integrable representation of a nilpotent Lie group Page
1 Smooth frames in the orbit of a square-integrable representation of a nilpotent Lie group …