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

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 2, Pages 6–13 (Mi isu290)

This article is cited in 2 papers

Mathematics

Integral operator with kernel having jumps on broken lines

O. A. Korolevaa, A. P. Khromovb

a Saratov State University, Chair of Algebra and Number Theory
b Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: In this paper we study equiconvergence expansions in trigonometric Fourier series, and in eigenfunctions and associated functions of an integral operator whose kernel suffers jumps at the sides of the square inscribed in the unit square.

Key words: equiconvergence, resolvent, characteristic number, eigenfunctions and associated functions.

UDC: 517.984

DOI: 10.18500/1816-9791-2012-12-2-6-13



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