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An elementary proof of the decomposition of measures on the circle group

Volume 140 / 2015

Przemysław Ohrysko Colloquium Mathematicum 140 (2015), 1-4 MSC: Primary 43A10; Secondary 43A25. DOI: 10.4064/cm140-1-1


We give an elementary proof for the case of the circle group of the theorem of O. Hatori and E. Sato, which states that every measure on a compact abelian group $G$ can be decomposed into a sum of two measures with a natural spectrum and a discrete measure.


  • Przemysław OhryskoInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland

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