Journal article
Positive definite and related functions on hypergroups
Canadian Journal of Mathematics, Vol.43(2), pp.242-254
1991
Abstract
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.
Details
- Title
- Positive definite and related functions on hypergroups
- Authors/Creators
- W.R. Bloom (Author/Creator)P. Ressel (Author/Creator)
- Publication Details
- Canadian Journal of Mathematics, Vol.43(2), pp.242-254
- Publisher
- Canadian Mathematical Society
- Identifiers
- 991005546020207891
- Copyright
- © 1991 Canadian Mathematical Society.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.886 Operator Algebras
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics