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The Transience Criterion for Semigroups of Probability Measures on a Class of Commutative Hypergroups / Critère de Transience D’un Semi Groupe de Probabilitès sur une Classe D’hypergroupes Commutatifs

In: Probability Measures on Groups X

Author

Listed:
  • Marc Olivier Gebuhrer

    (Université Louis Pasteur, UFR de Mathématique et d’Informatique)

Abstract

Let X denote a second countable commutative locally compact hypergroup. Suppose, moreover, that the hermitian spectrum X̂ of the Banach algebra L1(X, σ) of functions on X which are integrable with respect to the Haar measure a of X is also a hypergroup.

Suggested Citation

  • Marc Olivier Gebuhrer, 1991. "The Transience Criterion for Semigroups of Probability Measures on a Class of Commutative Hypergroups / Critère de Transience D’un Semi Groupe de Probabilitès sur une Classe D’hypergroupes Commutatifs," Springer Books, in: Herbert Heyer (ed.), Probability Measures on Groups X, pages 145-154, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2364-6_11
    DOI: 10.1007/978-1-4899-2364-6_11
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