Theoretical Mathematics & Applications

Decomposition of a vector measure

  • Pdf Icon [ Download ]
  • Times downloaded: 8885
  • 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.