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A note on the convolution of probability measures


Author: Errol Caby
Journal: Proc. Amer. Math. Soc. 99 (1987), 549-554
MSC: Primary 28C10
DOI: https://doi.org/10.1090/S0002-9939-1987-0875395-9
MathSciNet review: 875395
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Abstract: Simple proofs of the continuity of the convolution of measures for certain topologies are presented. In addition, results on the compactness of probability measures and on infinite convolutions of probability measures are obtained.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1987-0875395-9
Keywords: Uniform space, uniform measures, tight measures, $ \tau $-smooth measures
Article copyright: © Copyright 1987 American Mathematical Society