On the relationships between Fourier-Stieltjes coefficients and spectra of measures

Przemysław Ohrysko, and Michał Wojciechowski. "On the relationships between Fourier-Stieltjes coefficients and spectra of measures." Studia Mathematica 221.2 (2014): 117-140. <http://eudml.org/doc/285695>.

@article{PrzemysławOhrysko2014,
abstract = {We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group with Fourier coefficients taking values in this set has a natural spectrum. For measures with Fourier coefficients tending to 0 we construct an open set with this property. We also give an example of a singular measure whose spectrum is contained in our set.},
author = {Przemysław Ohrysko, Michał Wojciechowski},
journal = {Studia Mathematica},
keywords = {natural spectrum; Wiener-Pitt phenomenon; Fourier-Stieltjes coefficients; convolution algebra; spectrum of measure},
language = {eng},
number = {2},
pages = {117-140},
title = {On the relationships between Fourier-Stieltjes coefficients and spectra of measures},
url = {http://eudml.org/doc/285695},
volume = {221},
year = {2014},
}

TY - JOUR
AU - Przemysław Ohrysko
AU - Michał Wojciechowski
TI - On the relationships between Fourier-Stieltjes coefficients and spectra of measures
JO - Studia Mathematica
PY - 2014
VL - 221
IS - 2
SP - 117
EP - 140
AB - We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group with Fourier coefficients taking values in this set has a natural spectrum. For measures with Fourier coefficients tending to 0 we construct an open set with this property. We also give an example of a singular measure whose spectrum is contained in our set.
LA - eng
KW - natural spectrum; Wiener-Pitt phenomenon; Fourier-Stieltjes coefficients; convolution algebra; spectrum of measure
UR - http://eudml.org/doc/285695
ER -