Positive definite functions and the lévy continuity theorem for commutative hypergroups
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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.
| Item Type: | Book Chapter |
|---|---|
| Murdoch Affiliation(s): | 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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