Library
home (Home) TU Delft Repository login Login

On sufficient density conditions for lattice orbits of relative discrete series

Journal Article (2022)
Author(s)

Ulrik Enstad (Stockholm University)

Jordy Timo van Velthoven (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group
Analysis
DOI related publication
https://doi.org/10.1007/s00013-022-01748-8 Final published version
More Info
expand_more
Publication Year
2022
Language
English
Research Group
Analysis
Issue number
3
Volume number
119
Pages (from-to)
279-291
Downloads counter
153
Collections
Institutional Repository
Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

This note provides new criteria on a unimodular group G and a discrete series representation (π, Hπ) of formal degree dπ> 0 under which any lattice Γ ≤ G with vol(G/Γ)dπ≤1 (resp. vol(G/Γ)dπ≥1) admits g∈ Hπ such that π(Γ) g is a frame (resp. Riesz sequence). The results apply to all projective discrete series of exponential Lie groups.