Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Mesures invariantes sur les hypergroupes

Author: R. Spector
Journal: Trans. Amer. Math. Soc. 239 (1978), 147-165
MSC: Primary 43A05
MathSciNet review: 0463806
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The notion of an invariant or relatively invariant measure on a hypergroup is studied. The main result is that every commutative hypergroup carries an invariant measure.

References [Enhancements On Off] (What's this?)

  • [1] Ch. F. Dunkl, The measure algebra of a locally compact hypergroup, Trans. Amer. Math. Soc. 179 (1973), 331-348. MR 47 #9171. MR 0320635 (47:9171)
  • [2] R. I. Jewett, Spaces with an abstract convolution of measures. Advances in Math. 18 (1975), 1-101. MR 52 #14840. MR 0394034 (52:14840)
  • [3] K. A. Ross, Hypergroups and centers of measure algebras, A paraître dans Symposia Mathematica, Istituto Nazionale di alta Matematica.
  • [4] R. Spector, Théorie axiomatique des hypergroupes, C. R. Acad. Sci. Paris Sér. A 280 (1975), 1743-1744. MR 52 #11472 A. MR 0390647 (52:11472a)
  • [5] -, Aperçu de la théorie des hypergroupes. Analyse Harmonique sur les Groupes de Lie, Séminaire Nancy-Strasbourg 1973-1975, Lecture Notes in Math. vol. 497, Springer-Verlag, Berlin and New York. 1975.
  • [6] A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1940. MR 3, 198.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 43A05

Retrieve articles in all journals with MSC: 43A05

Additional Information

Keywords: Hypergroup, translation operator, invariant measure, fixed point theorem
Article copyright: © Copyright 1978 American Mathematical Society

American Mathematical Society