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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Original Russian Text © L.P. Kuvardina and A.P. Khromov, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 5, pp. 67–76.
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Kuvardina, L.P., Khromov, A.P. The equiconvergence of expansions in eigenfunctions and associated functions of an integral operator with involution. Russ Math. 52, 58–66 (2008). https://doi.org/10.3103/S1066369X08050071
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DOI: https://doi.org/10.3103/S1066369X08050071