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On Integral Operators with Homogeneous Kernels and Trigonometric Coefficients

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Abstract

We consider the multidimensional integral operators with homogeneous kernels of degree \((-n)\) and trigonometric coefficients of a special type. For these operators, we obtain the necessary and sufficient conditions of Fredholmness and we calculate the index.

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REFERENCES

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Funding

This work was supported by the Development Program of the Regional Scientific and Educational Mathematical Center.

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Authors and Affiliations

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

    O. G. Avsyankin

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

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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 4, pp. 3–10.

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Avsyankin, O.G. On Integral Operators with Homogeneous Kernels and Trigonometric Coefficients. Russ Math. 65, 1–7 (2021). https://doi.org/10.3103/S1066369X21040010

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  • DOI: https://doi.org/10.3103/S1066369X21040010

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