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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 63–67
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-63-67
(Mi isu376)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines

O. A. Koroleva

Saratov State University
Full-text PDF (149 kB) Citations (1)
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Abstract: This paper deals with necessary and sufficient conditions of uniform convergence of generalized Riesz means for expansions in eigen and associated functions of an integral operator whose kernel suffers jumps at the sides of the square inscribed in the unit square.
Key words: resolvent, characteristic number, eigenfunctions and associated functions, generalized Riesz means.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: O. A. Koroleva, “On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 63–67
Citation in format AMSBIB
\Bibitem{Kor13}
\by O.~A.~Koroleva
\paper On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 63--67
\mathnet{http://mi.mathnet.ru/isu376}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-63-67}
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  • https://www.mathnet.ru/eng/isu/v13/i2/p63
  • This publication is cited in the following 1 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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    Full-text PDF :66
    References:31
     
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