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A Uniqueness Problem for Probability Measures on Locally-Compact Abelian Groups

Inder K. Rana
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
Vol. 39, No. 4 (Oct., 1977), pp. 309-316
Published by: Springer on behalf of the Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25050115
Page Count: 8
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A Uniqueness Problem for Probability Measures on Locally-Compact Abelian Groups
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Abstract

Suppose μ and ν are probability measures on a locally-compact abelian group G such that μ(E+x) = ν(E+x) for every x ε G and for a fixed set E with compact closure and positive Haar measure. We investigate the relation between ν and μ.

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