An elementary proof of the decomposition of measures on the circle group
Volume 140 / 2015
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.
