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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2005 Volume 5, Issue 1-2, Pages 48–61 (Mi isu674)

Mathematics

Оп regularity of self-adjoint boundary conditions

A. M. Minkin, A. P. Khromov

Saratov State University

Abstract: ln this paper we expound the favourabe decision of Кamke's (Камке) hypothesis that self-adjoint boundary conditions are regular and we also establish an analogue of Jordan–Dirichlet theorem оп uniform convergence of trigonometric Fourier series for the case of the expansions in eigen functions of self-adjoint integral operators from the certain class.

UDC: 517.984



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