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

Colloquium Mathematicae (2015)

- Volume: 140, Issue: 1, page 1-4
- ISSN: 0010-1354

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topPrzemysław Ohrysko. "An elementary proof of the decomposition of measures on the circle group." Colloquium Mathematicae 140.1 (2015): 1-4. <http://eudml.org/doc/286327>.

@article{PrzemysławOhrysko2015,

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.},

author = {Przemysław Ohrysko},

journal = {Colloquium Mathematicae},

keywords = {natural spectrum; Wiener-Pitt phenomenon; Fourier-Stieltjes coefficients; convolution algebra; spectrum of measure},

language = {eng},

number = {1},

pages = {1-4},

title = {An elementary proof of the decomposition of measures on the circle group},

url = {http://eudml.org/doc/286327},

volume = {140},

year = {2015},

}

TY - JOUR

AU - Przemysław Ohrysko

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

JO - Colloquium Mathematicae

PY - 2015

VL - 140

IS - 1

SP - 1

EP - 4

AB - 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.

LA - eng

KW - natural spectrum; Wiener-Pitt phenomenon; Fourier-Stieltjes coefficients; convolution algebra; spectrum of measure

UR - http://eudml.org/doc/286327

ER -

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