Continuity of convolution semigroups on hypergroups

W.R. Bloom; H. Heyer

doi:10.1007/BF01246630

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Continuity of convolution semigroups on hypergroups

Journal article

Peer reviewed

Continuity of convolution semigroups on hypergroups

W.R. Bloom and H. Heyer

Journal of Theoretical Probability, Vol.1(3), pp.271-286

1988

DOI: https://doi.org/10.1007/BF01246630

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Abstract

Let K be a commutative hypergroup with the property that either the identity character is contained in the support of the Plancherel measure on K^, or the identity character is not isolated in K^ and all characters sufficiently close (but not equal) to the identity character vanish at infinity. We present a shift compactness theorem for K and use this to prove that every symmetric convolution semigroup of probability measures on K is continuous.

Details

Title: Continuity of convolution semigroups on hypergroups
Authors/Creators: W.R. Bloom (Author/Creator)
H. Heyer (Author/Creator)
Publication Details: Journal of Theoretical Probability, Vol.1(3), pp.271-286
Publisher: Plenum Publishing
Identifiers: 991005543770107891
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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