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

• Autorzy: Przemysław Ohrysko
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 43A10: Measure algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 1
• Strony: 1-4

Daty

wydano

2015

Twórcy

autor

Przemysław Ohrysko

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

Identyfikatory

DOI

10.4064/cm140-1-1