Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-24T00:11:21.694Z Has data issue: false hasContentIssue false

Transient Markov convolution semi-groups and the associated negative definite functions

Published online by Cambridge University Press:  22 January 2016

Masayuki Itô*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let X be a locally compact and σ-compact abelian group and be the dual group of X. We denote by ξ a fixed Haar measure on X and by the Haar measure on associated with ξ.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

[1] Berg, C. and Forst, G., Potential theory on locally compact abelian groups, Springer-Verlag, 1975.CrossRefGoogle Scholar
[2] Choquet, G. and Deny, J., Sur l’équation de convolution C. R. Acad. Sci. Paris, 250 (1960), 42604262.Google Scholar
[3] Port, S. C. and Stone, C. J., Potential theory of random walks on abelian groups, Acta Math., 122 (1969), 19114.CrossRefGoogle Scholar
[4] Weil, A., L’intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1965.Google Scholar