- document
-
Romero, José Luis (author), van Velthoven, J.T. (author)This article considers the relation between the spanning properties of lattice orbits of discrete series representations and the associated lattice co-volume. The focus is on the density theorem, which provides a trichotomy characterizing the existence of cyclic vectors and separating vectors, and frames and Riesz sequences. We provide an...journal article 2022
- document
-
Enstad, Ulrik (author), van Velthoven, J.T. (author)This note provides new criteria on a unimodular group G and a discrete series representation (π, H<sub>π</sub>) of formal degree d<sub>π</sub>> 0 under which any lattice Γ ≤ G with vol(G/Γ)dπ≤1 (resp. vol(G/Γ)dπ≥1) admits g∈ H<sub>π</sub> such that π(Γ) g is a frame (resp. Riesz sequence). The results apply to all projective discrete...journal article 2022