Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups

Walter R. Bloom, Herbert Heyer and Yan Wang
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Walter R. Bloom: Murdoch University, School of Mathematical and Physical Sciences
Herbert Heyer: Universität Tübingen, Mathematisches Institut Auf der Morgenstelle 10
Yan Wang: Universität Tübingen, Mathematisches Institut Auf der Morgenstelle 10

A chapter in Probability Measures on Groups X, 1991, pp 19-38 from Springer

Abstract: 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.

Keywords: Inverse Fourier Transform; Definite Function; Positive Definiteness; Positive Definite Function; Plancherel Measure (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2364-6_3

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DOI: 10.1007/978-1-4899-2364-6_3

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