O. G. Avsyankin, “Projection method for a class of integral operators with bihomogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3, 3

Loading [MathJax]/jax/output/CommonHTML/jax.js

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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

Full-text PDF (402 kB) Citations (1)

References:

PDF

HTML

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}

Linking options:

https://www.mathnet.ru/eng/ivm9857

https://www.mathnet.ru/eng/ivm/y2023/i3/p3

This publication is cited in the following 1 articles:

V. M. Deundyak, E. I. Miroshnikova, “The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients”, Russian Math. (Iz. VUZ), 56:7 (2012), 1–14

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

Statistics & downloads:
Abstract page:	130
Full-text PDF :	28
References:	41
First page:	17

Registration to the website

Logotypes