Journal article
Negative definite functions and convolution semigroups of probability measure on a commutative hypergroup
Probability and Mathematical Statistics, Vol.16(1), pp.157-176
1996
Abstract
Corresponding to the definitions of positive definite functions there are various approaches to defining negative definite functions on hypergroups. These range from the obvious “pointwise” definition to axiomatization via the Schoenberg duality. Researchers in this area have used definitions best suited to their immediate purposes. In this paper we present a comprehensive treatment of negative definite functions on commutative hypergroups, leading to convolution semigroups of probability measures and their Levy-Khintchine representation within the framework of commutative hyper-groups on subsets of Euclidean space.
Details
- Title
- Negative definite functions and convolution semigroups of probability measure on a commutative hypergroup
- Authors/Creators
- W.R. Bloom (Author/Creator)H. Heyer (Author/Creator)
- Publication Details
- Probability and Mathematical Statistics, Vol.16(1), pp.157-176
- Publisher
- WROCŁAW UNIVERSITY OF TECHNOLOGY
- Identifiers
- 991005544607207891
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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