Geodesic
Integral operator with kernel having jumps on broken lines
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 6-13 
O. A. Koroleva; A. P. Khromov. Integral operator with kernel having jumps on broken lines. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 6-13. http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Khromov A. P., “Integralnye operatory s yadrami, razryvnymi na lomanykh liniyakh”, Mat. sb., 197:11 (2006), 115–142 | DOI | MR | Zbl

[2] Kornev V. V., Khromov A. P., “O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh”, Mat. sb., 192:10 (2001), 33–50 | DOI | MR | Zbl