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Positive definite functions and the lévy continuity theorem for commutative hypergroups
Book chapter

Positive definite functions and the lévy continuity theorem for commutative hypergroups

W.R. Bloom, H. Heyer and Y. Wang
Probability Measures on Groups X, pp.19-38
Springer US
1991
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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.

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