Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
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, 2021, Number 4, Pages 3–10
DOI: https://doi.org/10.26907/0021-3446-2021-4-3-10 (Mi ivm9662) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On integral operators with homogeneous kernels and trigonometric coefficients

O. G. Avsyankin

Southern Federal University, 8a Mil'chakova str., Rostov-on-Don, 344090 Russia
Full-text PDF (352 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-4-3-10
Abstract: We consider the multidimensional integral operators with homogeneous of degree $(-n)$ kernels and special type trigonometric coefficients. For these operators we obtain the necessary and sufficient conditions of Fredholmness and we calculate the index.
Keywords: integral operator, homogeneous kernel, Fredholmness, index, symbol, spherical harmonics.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
Received: 22.05.2020
Revised: 22.05.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 4, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X21040010
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “On integral operators with homogeneous kernels and trigonometric coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4, 3–10; Russian Math. (Iz. VUZ), 65:4 (2021), 1–7
Citation in format AMSBIB
\Bibitem{Avs21}
\by O.~G.~Avsyankin
\paper On integral operators with homogeneous kernels and trigonometric coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 4
\pages 3--10
\mathnet{http://mi.mathnet.ru/ivm9662}
\crossref{https://doi.org/10.26907/0021-3446-2021-4-3-10}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 4
\pages 1--7
\crossref{https://doi.org/10.3103/S1066369X21040010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000653040900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85106890726}
Linking options:
  • https://www.mathnet.ru/eng/ivm9662
  • https://www.mathnet.ru/eng/ivm/y2021/i4/p3
    • This publication is cited in the following 5 articles:
    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)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025