Local Versions of the Wiener-Levi Theorem
Classical Analysis and ODEs
2021-12-21 v2
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.
Keywords
Cite
@article{arxiv.1912.11298,
title = {Local Versions of the Wiener-Levi Theorem},
author = {Serhii Favorov},
journal= {arXiv preprint arXiv:1912.11298},
year = {2021}
}
Comments
7 pages, references 9 items