Cite this article as:

Khromov A. P., Koroleva O. A. Integral operator with kernel having jumps on broken lines . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 2, pp. 6-13. DOI: https://doi.org/10.18500/1816-9791-2012-12-2-6-13

Language:

Russian

Heading:

Mathematics

UDC:

517.984

Integral operator with kernel having jumps on broken lines

Authors:

Khromov Avgust Petrovich, Saratov State University 1, Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83 , KhromovAP@info.sgu.ru

Koroleva Olga Arturovna, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , korolevaoart@yandex.ru

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.

DOI:

https://doi.org/10.18500/1816-9791-2012-12-2-6-13

References

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