Analytic families of eigenfunctions on a reductive symmetric space

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dc.creatorBan, E. P. van den
dc.creatorSchlichtkrull, H.
dc.date2001-04-04
dc.date.accessioned2026-07-07T04:40:59Z
dc.date.available2026-07-07T04:40:59Z
dc.descriptionThe asymptotic behavior of holomorphic families of generalized eigenfunctions on a reductive symmetric space is studied. The family parameter is a complex character on the split component of a parabolic subgroup. The main result asserts that the family vanishes if a particular asymptotic coefficient does. This allows an induction of relations between families that will be applied in forthcoming work on the Plancherel and the Paley-Wiener theorem.
dc.description115 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0104050
dc.identifierhttp://arxiv.org/abs/math/0104050
dc.identifierRepresent. Theory 5 (2001), 615--712 (electronic)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61232
dc.subjectRepresentation Theory
dc.subject22E30; 22E45
dc.titleAnalytic families of eigenfunctions on a reductive symmetric space
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