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

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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.

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Authors and Affiliations

  1. Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, Russia

    O. G. Avsyankin

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  1. O. G. Avsyankin
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Correspondence to O. G. Avsyankin.

Additional information

Original Russian Text © O.G. Avsyankin, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 2, pp. 10–17.

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Avsyankin, O.G. Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts. Russ Math. 59, 7–13 (2015). https://doi.org/10.3103/S1066369X15020024

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  • DOI: https://doi.org/10.3103/S1066369X15020024

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