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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 5, Pages 67–76 (Mi ivm1279)  
This article is cited in 7 scientific papers (total in 7 papers)

On the equiconvergence of expansions in eigen- and associated functions of an integral operator with involution

A. P. Khromov, L. P. Kuvardina

Saratov State University
Full-text PDF (187 kB) Citations (7)
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Abstract: In this paper we study an integral operator with involution. We solve the problem on the exact inversion of this operator, we obtain and study the integrodifferential system for the Fredholm resolvent and, finally, we prove the theorem on the equiconvergence of expansions in eigenfunctions and associated functions, in the ordinary trigonometric system.
Keywords: integral operator, resolvent, involution, eigenfunctions and associated functions, Fourier series.
Received: 30.06.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 5, Pages 58–66
DOI: https://doi.org/10.3103/S1066369X08050071
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: A. P. Khromov, L. P. Kuvardina, “On the equiconvergence of expansions in eigen- and associated functions of an integral operator with involution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 67–76; Russian Math. (Iz. VUZ), 52:5 (2008), 58–66
Citation in format AMSBIB
\Bibitem{KhrKuv08}
\by A.~P.~Khromov, L.~P.~Kuvardina
\paper On the equiconvergence of expansions in eigen- and associated functions of an integral operator with involution
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 5
\pages 67--76
\mathnet{http://mi.mathnet.ru/ivm1279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2445185}
\zmath{https://zbmath.org/?q=an:1161.45008}
\elib{https://elibrary.ru/item.asp?id=11034935}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 5
\pages 58--66
\crossref{https://doi.org/10.3103/S1066369X08050071}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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