Local versions of the Wiener–Lévy theorem

S. Yu. Favorov

doi:10.30970/ms.57.1.45-52

S. Yu. Favorov Karazin National University of Kharkiv

DOI: https://doi.org/10.30970/ms.57.1.45-52

Анотація

Let $h$ be a real-analytic function on the neighborhood of some compact set $K$ on the plane, and let $f(y)$ be the Fourier--Stieltjes transform of a complex measure of a finite total variation without singular components on the Euclidean space. Then there exists another measure of a finite total variation with the Fourier--Stieltjes transform $g(y)$ such that $g(y)=h(f(y))$ whenever the value $f(y)$ belongs to $K$.

Біографія автора

S. Yu. Favorov, Karazin National University of Kharkiv

Kharkiv National University, Svobody sq, 4, faculty of mechanics and mathematics

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