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arXiv · 1912.11298

Local Versions of the Wiener-Levi Theorem

Serhii Favorov
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Abstract

Let h be a real-analytic function in the neighborhood of some compact set K on the plane. We show that for any complex measure on the Euclidean space of a finite total variation without singular components with the Fourier--Stieltjes transform f(y) there exists another measure of a finite total variation with the Fourier transform g(y) with the property g(y)=h(f(y)) for each y such that f(y) belongs to K.

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Serhii Favorov. 2019-12-24. Local Versions of the Wiener-Levi Theorem. https://arxiv.org/abs/1912.11298

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