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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