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.

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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. 
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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/

[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