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arXiv · 2505.03417

Density conditions with stabilisers for lattice orbits of discrete series representations

Jordy Timo van Velthoven
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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.

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Jordy Timo van Velthoven. 2025-05-06. Density conditions with stabilisers for lattice orbits of discrete series representations. https://arxiv.org/abs/2505.03417

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