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Contents of PMS, Vol. 18, Fasc. 1,
pages 185 - 198
 

A LÉVY KHINTCHINE TYPE REPRESENTATION OF CONVOLUTION SEMIGROUPS ON COMMUTATIVE HYPERGROUPS

Christian Rentzsch

Abstract: We first study Lévy measures, Poisson and Gaussian convolution semigroups on commutative hypergroups. Then we present a Lévy-Khintchine type representation of a convolution semigroup (m ) t t>0 with symmetric Lévy measure c of the form m = g *e(tc), t t t > 0, for some Poisson semigroup (e(tc)) t>0 and some Gaussian semigroup (g) . t t>0

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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