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.