Theoretical Mathematics & Applications

Decomposition of a vector measure

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  • Abstract 

    In this paper we show the vector form of the decomposition of a measure. We consider a bounded vector measure m on K(G;E) and we prove that it decomposes into two measures, one of which is absolutely continuous with respect to the Haar measure and the other foreign to the Haar measure.

    Keywords: Vector measure, Haar measure, singular measures, absolute continuity.