Density conditions with stabilisers for lattice orbits of discrete series representations
Functional Analysis
2025-08-21 v2 Representation Theory
Abstract
This note provides elementary proofs for necessary density conditions for frames and Riesz sequences in the lattice orbit of a discrete series representation that involve the projective stabiliser of the vector. The presented approach extends and simplifies known density conditions for Bergman kernels and lattices in semisimple Lie groups.
Keywords
Cite
@article{arxiv.2505.03417,
title = {Density conditions with stabilisers for lattice orbits of discrete series representations},
author = {Jordy Timo van Velthoven},
journal= {arXiv preprint arXiv:2505.03417},
year = {2025}
}