Paley-Wiener spaces for real reductive Lie groups

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dc.creatorBan, E. P. van den
dc.creatorSchlichtkrull, H.
dc.date2004-11-16
dc.date2005-11-28
dc.date.accessioned2026-07-07T06:39:01Z
dc.date.available2026-07-07T06:39:01Z
dc.descriptionWe show that Arthur's Paley-Wiener theorem for K-finite compactly supported smooth functions on a real reductive Lie group G of the Harish-Chandra class can be deduced from the Paley-Wiener theorem we established in the more general setting of a reductive symmetric space. In addition, we formulate an extension of Arthur's theorem to K-finite compactly supported generalized functions (distributions) on G and show that this result follows from the analogous result for reductive symmetric spaces as well.
dc.descriptionLatex2e, 28 pages, change of definition of space P^* on p. 17 + minor corrections
dc.identifierhttps://arxiv.org/abs/math/0411363
dc.identifierhttp://arxiv.org/abs/math/0411363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100942
dc.subjectRepresentation Theory
dc.subject22E30; 22E46
dc.titlePaley-Wiener spaces for real reductive Lie groups
dc.typetext

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