The equiconvergence of expansions in eigenfunctions and associated functions of an integral operator with involution |
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Authors: | L. P. Kuvardina A. P. Khromov |
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Affiliation: | (1) Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia |
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Abstract: | In this paper we study an integral operator with involution. We solve the problem on the exact inversion of this operator, we obtain and study the integro-differential system for the Fredholm resolvent and, finally, we prove the theorem on the equiconvergence of expansions in eigenfunctions and associated functions, in the usual trigonometric system. |
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Keywords: | integral operator resolvent involution eigenfunctions and associated functions Fourier series |
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