Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 4, Pages 67–71 (Mi vmumm4488)  
This article is cited in 1 scientific paper (total in 1 paper)

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Spectral properties of a differential operator with involution

Ya. A. Granilshchikova, A. A. Shkalikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The article defines a class of regular differential operators of the first order, the main part of which contains the involution operator and non-constant coefficient functions. We sketch a scheme for proving the unconditional basis property of the eigen and associated functions of regular differential operators of this type under some additional conditions. Examples of operators for which root functions do not form a basis are constructed.
Key words: operators with involution, regular differential operators, basis of the eigenfunctions of operators, Riesz basis.
Funding agency Grant number
Russian Science Foundation 20-11-20261
Received: 11.02.2022
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 4, Pages 204–208
DOI: https://doi.org/10.3103/S0027132222040040
Bibliographic databases:
Document Type: Article
UDC: 517.928+517.984
Language: Russian
Citation: Ya. A. Granilshchikova, A. A. Shkalikov, “Spectral properties of a differential operator with involution”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 4, 67–71; Moscow University Mathematics Bulletin, 77:4 (2022), 204–208
Citation in format AMSBIB
\Bibitem{GraShk22}
\by Ya.~A.~Granilshchikova, A.~A.~Shkalikov
\paper Spectral properties of a differential operator with involution
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 4
\pages 67--71
\mathnet{http://mi.mathnet.ru/vmumm4488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4509580}
\zmath{https://zbmath.org/?q=an:7628040}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 4
\pages 204--208
\crossref{https://doi.org/10.3103/S0027132222040040}
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    • 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
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    Full-text PDF :80
    References:43
    First page:20
     
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