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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 376, Pages 64–87 (Mi znsl3619)  
This article is cited in 1 scientific paper (total in 1 paper)

Chebyshev $C_0$-operator polynomials and their representation

V. A. Kostin, M. N. Nebolsina

Voronezh State University, Voronezh, Russia
Full-text PDF (639 kB) Citations (1)
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Abstract: Certain estimates for the resolvent of a block-discrete Schrödinger operator with a constant diagonal perturbation are obtained. For that, the resolvent is represented in terms of the Chebychev polynomials of the (in general, unbounded) operator that represents a block of the perturbation. Bibl. – 12 titles.
Key words and phrases: operator Chebyshev polynomials, $C_0$-semigroup, generator.
Received: 17.05.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 172, Issue 2, Pages 215–228
DOI: https://doi.org/10.1007/s10958-010-0194-5
Bibliographic databases:
Document Type: Article
UDC: 517.518.13+517.983.5
Language: Russian
Citation: V. A. Kostin, M. N. Nebolsina, “Chebyshev $C_0$-operator polynomials and their representation”, Investigations on linear operators and function theory. Part 38, Zap. Nauchn. Sem. POMI, 376, POMI, St. Petersburg, 2010, 64–87; J. Math. Sci. (N. Y.), 172:2 (2011), 215–228
Citation in format AMSBIB
\Bibitem{KosNeb10}
\by V.~A.~Kostin, M.~N.~Nebolsina
\paper Chebyshev $C_0$-operator polynomials and their representation
\inbook Investigations on linear operators and function theory. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 376
\pages 64--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3619}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 172
\issue 2
\pages 215--228
\crossref{https://doi.org/10.1007/s10958-010-0194-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78651288226}
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  • https://www.mathnet.ru/eng/znsl3619
  • https://www.mathnet.ru/eng/znsl/v376/p64
    Addendum
    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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