Deformations of convolution semigroups on commutative hypergroups

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It 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.
To appear in: Infinite Dimensional Harmonic Analysis; Conf.Proc. Tuebingen 2003; World Scientific, Singapore

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Probability, Representation Theory, 43A10, 43A62, 60B15, 47D07

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http://salesiana.dossiersoluciones.com/handle/123456789/71179

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405255
 http://arxiv.org/abs/math/0405255

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arXiv