PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

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

Abstract

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.

Authors

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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image