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A direct method of solving singular integral equations with the Hilbert kernel
Authors:V. P. Kadushin  A. I. Shakirov
Affiliation:(1) Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia;(2) TGT Oil & Gas Services, Ltd., ul. Peterburgskaya 50, Kazan, 420111, Russia
Abstract:In this paper we consider a class of second-kind singular integral equations with Hilbert kernel on the unit circumference. We theoretically substantiate a solution method based on an interpolation-type operator.
Keywords:  KeywordHeading"  > and phrases Lebesgue space  integral equation  singular integral with Hilbert kernel  convergence  error estimate
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