Determination of measures.

Mark L. Roberts

doi:rae/1184963825

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Home > Journals > Real Anal. Exchange > Volume 28 > Issue 2 > Article

2002/2003 Determination of measures.

Mark L. Roberts

Author Affiliations +

Mark L. Roberts¹
¹Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England

Real Anal. Exchange 28(2): 635-640 (2002/2003).

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Abstract

This paper contains two results related to the question of when a measure on a metric space is determined by its value on certain subsets. The first is that two finite positive measures on a countable metric abelian group $G$ which agree on all balls of some fixed non-zero radius agree on $G$. The second relates to measures on a compact metric space that agree on all intersections of pairs of balls.