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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 65–67
DOI: https://doi.org/10.31857/S2686954320020149 (Mi danma52) 		 
MATHEMATICS

Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators

L. V. Kritskov

Lomonosov Moscow State University, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320020149
Abstract: Result on the uniform, over the entire real line, equiconvergence of spectral expansions related to the self-adjoint extension of a general differential operation of any even order with coefficients from the one-dimensional Kato class, with the Fourier integral expansion is presented. The statement is based on the obtained uniform estimates for the spectral function of this operator.
Keywords: self-adjoint even-order differential operator, spectral expansion, equiconvergence.
Presented: E. I. Moiseev
Received: 19.12.2019
Revised: 19.12.2019
Accepted: 26.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 132–134
DOI: https://doi.org/10.1134/S1064562420020143
Bibliographic databases:
Document Type: Article
UDC: 517.927.25
Language: Russian
Citation: L. V. Kritskov, “Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 65–67; Dokl. Math., 101:2 (2020), 132–134
Citation in format AMSBIB
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\by L.~V.~Kritskov
\paper Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 491
\pages 65--67
\mathnet{http://mi.mathnet.ru/danma52}
\crossref{https://doi.org/10.31857/S2686954320020149}
\zmath{https://zbmath.org/?q=an:7424571}
\elib{https://elibrary.ru/item.asp?id=42860665}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 2
\pages 132--134
\crossref{https://doi.org/10.1134/S1064562420020143}
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