Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

Continuity of convolution semigroups on hypergroups

Bloom, W.R. and Heyer, H. (1988) Continuity of convolution semigroups on hypergroups. Journal of Theoretical Probability, 1 (3). pp. 271-286.

Link to Published Version:
*Subscription may be required


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.

Item Type: Journal Article
Murdoch Affiliation(s): School of Mathematical and Physical Sciences
Publisher: Plenum Publishing
Copyright: © 1988 Plenum Publishing Corporation
Item Control Page Item Control Page