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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 2, Pages 6–13
DOI: https://doi.org/10.18500/1816-9791-2012-12-2-6-13
(Mi isu290)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Integral operator with kernel having jumps on broken lines

O. A. Korolevaa, A. P. Khromovb

a Saratov State University, Chair of Algebra and Number Theory
b Saratov State University, Chair of Differential Equations and Applied Mathematics
Full-text PDF (164 kB) Citations (2)
References:
Abstract: In this paper we study equiconvergence expansions in trigonometric Fourier series, and in eigenfunctions and associated functions of an integral operator whose kernel suffers jumps at the sides of the square inscribed in the unit square.
Key words: equiconvergence, resolvent, characteristic number, eigenfunctions and associated functions.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: O. A. Koroleva, A. P. Khromov, “Integral operator with kernel having jumps on broken lines”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 6–13
Citation in format AMSBIB
\Bibitem{KorKhr12}
\by O.~A.~Koroleva, A.~P.~Khromov
\paper Integral operator with kernel having jumps on broken lines
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 2
\pages 6--13
\mathnet{http://mi.mathnet.ru/isu290}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-2-6-13}
\elib{https://elibrary.ru/item.asp?id=17747112}
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  • https://www.mathnet.ru/eng/isu290
  • https://www.mathnet.ru/eng/isu/v12/i2/p6
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:331
    Full-text PDF :102
    References:55
    First page:1
     
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