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Mathematics > Probability

arXiv:math/0405255 (math)
[Submitted on 13 May 2004]

Title:Deformations of convolution semigroups on commutative hypergroups

Authors:Margit Rösler, Michael Voit
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Abstract: 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.
Comments: To appear in: Infinite Dimensional Harmonic Analysis; this http URL. Tuebingen 2003; World Scientific, Singapore
Subjects: Probability (math.PR); Representation Theory (math.RT)
MSC classes: 43A10, 43A62, 60B15, 47D07
Cite as: arXiv:math/0405255 [math.PR]
  (or arXiv:math/0405255v1 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.math/0405255

Submission history

From: Margit Roesler [view email]
[v1] Thu, 13 May 2004 16:00:25 UTC (26 KB)
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