Geodesic
On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 63-67.

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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. 
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O. A. Koroleva. On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 63-67. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a15/

[1] Khromov A. P., “Integral operators with kernels that are discontinuous on broken lines”, Sb. Math., 197:11 (2006), 1669–1696 | DOI | DOI | MR | Zbl

[2] Koroleva O. A., Khromov A. P., “Integral Operator with Kernel Having Jumps on Broken Lines”, Izv. Saratov. Univer. New Series. Ser. Mathematics. Mechanics. Informatics, 12:1 (2012), 33–50 (in Russian)

[3] Kornev V. V., “Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals”, Sb. Math., 192:10 (2001), 1451–-1469 | DOI | DOI | MR | Zbl

[4] Gurevich A. P., Khromov A. P., “Riesz summability of spectral expansions for a class of integral operators”, Differ. Equ., 37:6 (2001), 849–855 | DOI | MR | Zbl