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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 3, Pages 3–11
DOI: https://doi.org/10.26907/0021-3446-2023-3-3-11 (Mi ivm9857) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Projection method for a class of integral operators with bihomogeneous kernels

O. G. Avsyankin

Southern Federal University, Institute of Mathematics, Mechanics and Computer Science, Regional Mathematical Center , 8a Mil'chakova str., Rostov-on-Don, 344090 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-3-3-11
Abstract: We consider the multidimensional integral operators with bihomogeneous kernels in the $L_2$–space. For such operators, the necessary and sufficient conditions for invertibility is obtained. The main result of the article is the applicability criterion of the projection method to a given class of operators with biohomogeneous kernels.
Keywords: integral operator, homogeneous kernel, invertibility, projection method, $C^*$-algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075–02-2022-893
Received: 28.05.2022
Revised: 25.07.2022
Accepted: 28.09.2022
Document Type: Article
UDC: 517.983
Language: Russian
Citation: O. G. Avsyankin, “Projection method for a class of integral operators with bihomogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3, 3–11
Citation in format AMSBIB
\Bibitem{Avs23}
\by O.~G.~Avsyankin
\paper Projection method for a class of integral operators with bihomogeneous kernels
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm9857}
\crossref{https://doi.org/10.26907/0021-3446-2023-3-3-11}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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