Geodesic
Positive Definite and Related Functions on Hypergroups
Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 242-254

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we make use of semigroup methods on the space of compactly supported probability measures to obtain a complete Lévy-Khinchin representation for negative definite functions on a commutative hypergroup. In addition we obtain representation theorems for completely monotone and completely alternating functions. The techniques employed here also lead to considerable simplification of the proofs of known results on positive definite and negative definite functions on hypergroups.
DOI : 10.4153/CJM-1991-013-2
Mots-clés : 60B05, 43A10, 43A35 
Bloom, Walter R.; Ressel, Paul. Positive Definite and Related Functions on Hypergroups. Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 242-254. doi: 10.4153/CJM-1991-013-2
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