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

Autor:	Przemysław Ohrysko
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis Pure mathematics General Mathematics Elementary proof FOS: Mathematics Decomposition (computer science) Abelian group Discrete measure Measure (mathematics) Spectrum (topology) Functional Analysis (math.FA) Circle group Mathematics
Zdroj:	Colloquium Mathematicum. 140:1-4
ISSN:	1730-6302 0010-1354
Popis:	In this short note 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 the compact abelian group $G$ can be decomposed into a sum of two measures with natural spectrum and a discrete measure.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1219ca2e14ecfd91bcc4f919a44f9f60 https://doi.org/10.4064/cm140-1-1 Zobrazit plný text záznamu