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.
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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.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Mathematical and Physical Sciences|
|Copyright:||© 1988 Plenum Publishing Corporation|
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