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Exponentially bounded positive-definite functions on a commutative hypergroup

Part of: Probability theory on algebraic and topological structures Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Walter R. Bloom  and
Paul Ressel
Walter R. Bloom
Affiliation:
School of Physical Sciences, Engineering and Technology Murdoch UniversityPerth WA 6150, Australia
Paul Ressel
Affiliation:
Mathematisch-Geographische Fakultät Katholische Universität EichstättD-85071 EichstättFederal Republic of Germany
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Abstract

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In this paper we make use of semigroup methods on the space of compactly supported measures to obtain a Bochner representation for α-bounded positive-definite functions on a commutative hypergroup.

MSC classification

Secondary: 43A62: Hypergroups 60B05: Probability measures on topological spaces 43A10: Measure algebras on groups, semigroups, etc. 43A35: Positive definite functions on groups, semigroups, etc.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 2 , October 1996 , pp. 238 - 248
Copyright
Copyright © Australian Mathematical Society 1996

References

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