Examples of Coorbit Spaces for Dual Pairs

Simple item page
dc.creatorChristensen, J. G.
dc.creatorÓlafsson, G.
dc.date2007-11-26
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:01:50Z
dc.date.available2026-07-07T10:01:50Z
dc.descriptionIn this paper we summarize and give examples of a generalization of the coorbit space theory initiated in the 1980's by H.G. Feichtinger and K.H. Gröchenig. Coorbit theory has been a powerful tool in characterizing Banach spaces of distributions with the use of integrable representations of locally compact groups. Examples are a wavelet characterization of the Besov spaces and a characterization of some Bergman spaces by the discrete series representation of $\mathrm{SL}_2(\mathbb{R})$. We present examples of Banach spaces which could not be covered by the previous theory, and we also provide atomic decompositions for an example related to a non-integrable representation.
dc.identifierhttps://arxiv.org/abs/0711.4120
dc.identifierhttp://arxiv.org/abs/0711.4120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168765
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject43A15, 42B35 (Primary) 22D12 (Secondary)
dc.titleExamples of Coorbit Spaces for Dual Pairs
dc.typetext

Files

Collections

arXiv