2004/05/13 by Margit Rösler, Rösler, Margit, Michael Voit +1
Computer Science · Mathematics · #43A10 #43A62 #47D07 #60B15 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #FOS: Mathematics #Probability (math.PR) #Representation Theory (math.RT) #Topological and Geometric Data Analysis #math.PR #math.RT #msc:43A10 #msc:43A62 #msc:47D07 #msc:60B15
paper · pdf · doi:10.48550/arxiv.math/0405255
To appear in: Infinite Dimensional Harmonic Analysis; Conf.Proc. Tuebingen 2003; World Scientific, Singapore
arxiv created 2004/05/13 · openalex publication_date 2004/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.