A Convexity property for the SO(2,C)-double coset decomposition of SL(2,C) and applications to spherical functions

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dc.creatorKroetz, Bernhard
dc.creatorOtto, Michael
dc.date2002-08-27
dc.date2003-04-14
dc.date.accessioned2026-07-07T04:50:25Z
dc.date.available2026-07-07T04:50:25Z
dc.descriptionWe make a fine study of the SO(2,C)-double coset decomposition in SL(2,C) and give a full description of the intersection of the various cells with the complex crown Xi of SL(2,R)/SO(2). A non-linear convexity theorem is proved and applications to analytically continued spherical functions are given.
dc.description15 pages, 2 figures. Simpler geometric proofs of the results in Section 3 are given. To appear in Math. Z
dc.identifierhttps://arxiv.org/abs/math/0208215
dc.identifierhttp://arxiv.org/abs/math/0208215
dc.identifierMath. Z. 247(2), 303-318 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64789
dc.subjectRepresentation Theory
dc.subject22Exx
dc.titleA Convexity property for the SO(2,C)-double coset decomposition of SL(2,C) and applications to spherical functions
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