On sufficient density conditions for lattice orbits of relative discrete series

dc.date.accessioned	2022-06-02T15:13:06Z
dc.date.available	2022-06-02T15:13:06Z
dc.date.created	2022-05-23T15:25:57Z
dc.date.issued	2022
dc.identifier.citation	Enstad, Ulrik Bo Rufus Van Velthoven, Jordy Timo . On sufficient density conditions for lattice orbits of relative discrete series. Archiv der Mathematik. 2022
dc.identifier.uri	http://hdl.handle.net/10852/94257
dc.description.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.
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	On sufficient density conditions for lattice orbits of relative discrete series
dc.title.alternative	ENEngelskEnglishOn sufficient density conditions for lattice orbits of relative discrete series
dc.type	Journal article
dc.creator.author	Enstad, Ulrik Bo Rufus
dc.creator.author	Van Velthoven, Jordy Timo
cristin.unitcode	185,15,13,0
cristin.unitname	Matematisk institutt
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.cristin	2026668
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Archiv der Mathematik&rft.volume=&rft.spage=&rft.date=2022
dc.identifier.jtitle	Archiv der Mathematik
dc.identifier.doi	https://doi.org/10.1007/s00013-022-01748-8
dc.identifier.urn	URN:NBN:no-96814
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0003-889X
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/94257/1/archiv_der_mathematik_enstad_velthoven.pdf
dc.type.version	PublishedVersion