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Infinitely divisible probabilities on SL(2,) are continuously embedded

Published online by Cambridge University Press:  24 October 2008

M. McCrudden
M. McCrudden
Affiliation:
University of Manchester
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Extract

For any locally compact Hausdorff topological group G, let M(G) denote the topo-logical semigroup of all probability measures on G, where M (G) is given the weak topology and the multiplication is convolution.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 1 , July 1982 , pp. 101 - 107
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

(1)Heyer, R.Probability measures on locally compact groups (Ergebnisse der Mathematik und ihrer Grenzgebiete 94, Berlin-Heidelberg-New York, Springer 1977).CrossRefGoogle Scholar
(2)McCrudden, M.Factors and roots of large measures on connected Lie groups. (To appear in Math. Zeit, 1981.)CrossRefGoogle Scholar
(3)Parthasarathy, K. R.Probability measures on metric spaces (Academic Press, London, 1967).CrossRefGoogle Scholar