Sampling theorems on locally compact groups from oscillation estimates

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dc.creatorFuehr, Hartmut
dc.creatorGroechenig, Karlheinz
dc.date2005-09-08
dc.date.accessioned2026-07-07T05:23:03Z
dc.date.available2026-07-07T05:23:03Z
dc.descriptionWe present a general approach to derive sampling theorems on locally compact groups from oscillation estimates. We focus on the ${\rm L}^2$-stability of the sampling operator by using notions from frame theory. This approach yields particularly simple and transparent reconstruction procedures. We then apply these methods to the discretization of discrete series representations and to Paley-Wiener spaces on stratified Lie groups.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0509178
dc.identifierhttp://arxiv.org/abs/math/0509178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76290
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subjectPrimary 43A80, 42B35; Secondary 42C40, 26D10
dc.titleSampling theorems on locally compact groups from oscillation estimates
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