Asymptotic K-Support and Restrictions of Representations

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dc.creatorHansen, Soenke
dc.creatorHilgert, Joachim
dc.creatorKeliny, Sameh
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:39Z
dc.date.available2026-07-07T13:12:39Z
dc.descriptionIn the late nineties T. Kobayashi wrote a series of papers in which he established a criterion for the discrete decomposablity of restrictions of unitary representations of reductive Lie groups to reductive subgroups. A key tool in the proof of sufficiency of his criterion was the use of the theory of hyperfunctions to study the microlocal behavior of characters of restrictions to compact subgroups. In this paper we show how to replace this tool by microlocal analysis in the $C^\infty$ category.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0905.1009
dc.identifierhttp://arxiv.org/abs/0905.1009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229640
dc.subjectRepresentation Theory
dc.subject22E46, 46F10
dc.titleAsymptotic K-Support and Restrictions of Representations
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