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arXiv · 1305.3324

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

Przemysław Ohrysko·Michał Wojciechowski
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Abstract

We construct examples of uncountable compact subsets of complex numbers with the property that any Borel measure on the circle group taking values of its Fourier coefficients from this set has natural spectrum. For measures with Fourier coefficients tending to 0 we construct tho open set with this property.

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Przemysław Ohrysko, Michał Wojciechowski. 2014-11-19. On the relationships between Fourier - Stieltjes coefficients and spectra of measures. https://doi.org/10.4064/sm221-2-2

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