On sufficient density conditions for lattice orbits of relative discrete series

This note provides new criteria on a unimodular group G and a discrete series representation [Formula: see text] of formal degree [Formula: see text] under which any lattice [Formula: see text] with [Formula: see text] (resp. [Formula: see text] ) admits [Formula: see text] such that [Formula: see t...

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Detalles Bibliográficos
Autores principales: Enstad, Ulrik, van Velthoven, Jordy Timo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9399216/
https://www.ncbi.nlm.nih.gov/pubmed/36033339
http://dx.doi.org/10.1007/s00013-022-01748-8
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author Enstad, Ulrik
van Velthoven, Jordy Timo
author_facet Enstad, Ulrik
van Velthoven, Jordy Timo
author_sort Enstad, Ulrik
collection PubMed
description This note provides new criteria on a unimodular group G and a discrete series representation [Formula: see text] of formal degree [Formula: see text] under which any lattice [Formula: see text] with [Formula: see text] (resp. [Formula: see text] ) admits [Formula: see text] such that [Formula: see text] is a frame (resp. Riesz sequence). The results apply to all projective discrete series of exponential Lie groups.
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spelling pubmed-93992162022-08-25 On sufficient density conditions for lattice orbits of relative discrete series Enstad, Ulrik van Velthoven, Jordy Timo Arch Math Article This note provides new criteria on a unimodular group G and a discrete series representation [Formula: see text] of formal degree [Formula: see text] under which any lattice [Formula: see text] with [Formula: see text] (resp. [Formula: see text] ) admits [Formula: see text] such that [Formula: see text] is a frame (resp. Riesz sequence). The results apply to all projective discrete series of exponential Lie groups. Springer International Publishing 2022-05-23 2022 /pmc/articles/PMC9399216/ /pubmed/36033339 http://dx.doi.org/10.1007/s00013-022-01748-8 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Enstad, Ulrik
van Velthoven, Jordy Timo
On sufficient density conditions for lattice orbits of relative discrete series
title On sufficient density conditions for lattice orbits of relative discrete series
title_full On sufficient density conditions for lattice orbits of relative discrete series
title_fullStr On sufficient density conditions for lattice orbits of relative discrete series
title_full_unstemmed On sufficient density conditions for lattice orbits of relative discrete series
title_short On sufficient density conditions for lattice orbits of relative discrete series
title_sort on sufficient density conditions for lattice orbits of relative discrete series
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9399216/
https://www.ncbi.nlm.nih.gov/pubmed/36033339
http://dx.doi.org/10.1007/s00013-022-01748-8
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