Geodesic
On the relationships between Fourier–Stieltjes coefficients and spectra of measures
Przemysław Ohrysko 1   ; Michał Wojciechowski 1
1 Institute of Mathematics Polish Academy of Sciences 00-956 Warszawa, Poland
Studia Mathematica, Tome 221 (2014) no. 2, pp. 117-140 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm221-2-2
Keywords: construct examples uncountable compact subsets complex numbers property borel measure circle group fourier coefficients taking values set has natural spectrum measures fourier coefficients tending construct set property example singular measure whose spectrum contained set

Przemysław Ohrysko  1   ; Michał Wojciechowski  1

1 Institute of Mathematics Polish Academy of Sciences 00-956 Warszawa, Poland 
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Przemysław Ohrysko; Michał Wojciechowski. On the relationships between Fourier–Stieltjes
 coefficients and spectra of measures. Studia Mathematica, Tome 221 (2014) no. 2, pp. 117-140. doi: 10.4064/sm221-2-2

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