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Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups

In: Probability Measures on Groups X

Author

Listed:
  • 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)

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.

Suggested Citation

  • Walter R. Bloom & Herbert Heyer & Yan Wang, 1991. "Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups," Springer Books, in: Herbert Heyer (ed.), Probability Measures on Groups X, pages 19-38, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2364-6_3
    DOI: 10.1007/978-1-4899-2364-6_3
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