Positivity of Dunkl's intertwining operator via the trigonometric setting

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dc.creatorRösler, Margit
dc.creatorVoit, Michael
dc.date2004-05-19
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:08:24Z
dc.date.available2026-07-07T05:08:24Z
dc.descriptionIn this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.
dc.description9 pages; revised and slightly extended version. To appear in Int.Math.Res.Not
dc.identifierhttps://arxiv.org/abs/math/0405368
dc.identifierhttp://arxiv.org/abs/math/0405368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71244
dc.subjectClassical Analysis and ODEs
dc.subjectRepresentation Theory
dc.subject33C52, 33C67
dc.titlePositivity of Dunkl's intertwining operator via the trigonometric setting
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