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Prime characteristic functions on compact separable groups

Published online by Cambridge University Press:  24 October 2008

Aubrey Wulfsohn
Affiliation:
Faculty of Mathematics, The Open University, Milton Keynes MK7 6AA

Extract

Existence is established on some groups for Characteristic functions which are prime in the sence of being indecomposable for product factorization.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

[1] Guichardet, A.. Symmetric Hilbert spaces and related topics, Lecture notes in mathematics 261 (Springer-Verlag 1972).CrossRefGoogle Scholar
[2] Hewitt, E. and Ross, K. A.. Abstract harmonic analysis (Springer-Verlag, 1970).Google Scholar
[3] Parthasarathy, K. R.. Probability measures on metric spaces (Academic Press, 1967).CrossRefGoogle Scholar
[4] Parthasarathy, K. R., Rao, R. Ranga and Varadhan, S. R. S.. On the category of indecomposable measures on topological groups. Trans. Amer. Math. Soc. 102 (1962), 200217.CrossRefGoogle Scholar
[5] Wulfsohn, A.. Factorisation of characteristic functions on non-commutative groups. Proc. Amer. Math. Soc. 86 (1982), 287292.CrossRefGoogle Scholar