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

Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 63–67 (Mi isu376)

This article is cited in 1 paper

Mathematics

On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines

O. A. Koroleva

Saratov State University

Abstract: This paper deals with necessary and sufficient conditions of uniform convergence of generalized Riesz means for expansions in eigen and associated functions of an integral operator whose kernel suffers jumps at the sides of the square inscribed in the unit square.

Key words: resolvent, characteristic number, eigenfunctions and associated functions, generalized Riesz means.

UDC: 517.984

DOI: 10.18500/1816-9791-2013-13-1-2-63-67



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