On sufficient density conditions for lattice orbits of relative discrete series

Title

On sufficient density conditions for lattice orbits of relative discrete series

 Author

Enstad, Ulrik (Stockholm University)
van Velthoven, J.T. (TU Delft Analysis)

Date

2022

 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.


 Subject

Density condition
Discrete series
Frame
Lattice
Riesz sequence

 To reference this document use:

http://resolver.tudelft.nl/uuid:113a8016-d6be-4598-8f9f-3d7ef1152521

 DOI

https://doi.org/10.1007/s00013-022-01748-8

 ISSN

0003-889X

 Source

Archiv der Mathematik, 119 (3), 279-291

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2022 Ulrik Enstad, J.T. van Velthoven
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