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Positive definite functions and the lévy continuity theorem for commutative hypergroups

Bloom, W.R., Heyer, H. and Wang, Y. (1991) Positive definite functions and the lévy continuity theorem for commutative hypergroups. In: Heyer, H., (ed.) Probability Measures on Groups X. Springer US, pp. 19-38.

Link to Published Version: http://dx.doi.org/10.1007/978-1-4899-2364-6_3
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Abstract

Positive definite functions have played an important role in harmonic analysis and probability theory on a variety of algebraic-topological structures. In this paper we study the relationships between various definitions of positive definiteness for hypergroups, and compare the theorems of Bochner and Levy in the commutative case.

Publication Type: Book Chapter
Murdoch Affiliation: School of Mathematical and Physical Sciences
Publisher: Springer US
Copyright: 1991 Springer Science+Business Media New York
URI: http://researchrepository.murdoch.edu.au/id/eprint/31344
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