On the solvability of a singular integral equation with a non-Carleman shift


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Abstract

We consider a singular integral equation with a non-Carleman shift on an interval. We prove the unique solvability of this equation in weighted Hölder classes under certain restrictions on the coefficients. We show that the solution of the equation can be written in quadratures.

About the authors

A. A. Polosin

Lomonosov Moscow State University

Author for correspondence.
Email: alexei-polosin@mail.ru
Russian Federation, Moscow

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