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Radon polymeasures

Published online by Cambridge University Press:  17 April 2009

Brian Jefferies
Affiliation:
Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, U.S.A.
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Abstract

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The Radon-Nikodým theorem and a sequential convergence result are given for integrals with respect to a Radon polymeasure on a finite product space.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Fremlin, D.H., Topological Riesz Spaces and Measure Theory (Cambridge University Press, Cambridge, 1974).CrossRefGoogle Scholar
[2]Jefferies, B., “Evolution processes and the Feynman-Kac formula”, preprint.Google Scholar
[3]Kluvánek, I., “Remarks on bimeasures”, Proc. Amer. Math. Soc. 81 (1981), 233239.CrossRefGoogle Scholar
[4]Macphail, M.S., “Absolute and unconditional convergence”, Bull. Amer. Math. Soc. 53 (1947), 121123.CrossRefGoogle Scholar
[5]Schwartz, L., Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures (Oxford University Press, 1973).Google Scholar
[6]Ylinen, K., “On vector bimeasures”, Annali Mat. Pura Appl. 117 (1978), 115138.CrossRefGoogle Scholar