Deformations of convolution semigroups on commutative hypergroups

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dc.creatorRösler, Margit
dc.creatorVoit, Michael
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:08:14Z
dc.date.available2026-07-07T05:08:14Z
dc.descriptionIt was recently shown by the authors that deformations of hypergroup convolutions w.r.t. positive semicharacters can be used to explain probabilistic connections between the Gelfand pairs (SL(d,C), SU(d)) and Hermitian matrices. We here study connections between general convolution semigroups on commutative hypergroups and their deformations. We are able to develop a satisfying theory, if the underlying positive semicharacter has some growth property. We present several examples which indicate that this growth condition holds in many interesting cases.
dc.descriptionTo appear in: Infinite Dimensional Harmonic Analysis; Conf.Proc. Tuebingen 2003; World Scientific, Singapore
dc.identifierhttps://arxiv.org/abs/math/0405255
dc.identifierhttp://arxiv.org/abs/math/0405255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71179
dc.subjectProbability
dc.subjectRepresentation Theory
dc.subject43A10, 43A62, 60B15, 47D07
dc.titleDeformations of convolution semigroups on commutative hypergroups
dc.typetext

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