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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 2, Pages 10–17 (Mi ivm8969)
This article is cited in 7 papers

Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts

O. G. Avsyankin

Chair of Differential and Integral Equations, Southern Federal University, 8a Mil'chakova str., Rostov-on-Don, 344090 Russia

Abstract: We obtain the applicability criteria of the projection method to multidimensional integral operators with homogeneous kernels perturbed by operators of one-sided multiplicative shifts.

Keywords: integral operator, homogeneous kernel, multiplicative shift, projection method, spherical harmonics.

UDC: 517.983

Received: 01.10.2013


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:2, 7–13

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© Steklov Math. Inst. of RAS, 2024