Density conditions with stabilisers for lattice orbits of discrete series representations
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 8
- Pages
- 3575–3581
- Publication date
- 26 May 2026
- Language
- EN