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Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 2, Pages 16–21 (Mi ivm7229)  

This article is cited in 5 scientific papers (total in 5 papers)

Spectral properties of difference and differential operators in weighted spaces

M. S. Bichegkuev, S. V. Besaeva

Chair of Functional Analysis and Differential Equations, North-Osetian State University, Vladikavkaz, Russia

Abstract: We describe the spectrum of a difference operator (a weighted shift operator). We obtain applications to finding spectra of differential operators in weighted function spaces.

Keywords: difference operator, differential operator, operator spectrum, weighted spaces of sequences and functions.

Full text: PDF file (179 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:2, 13–17

Bibliographic databases:

UDC: 517.983
Received: 26.06.2009

Citation: M. S. Bichegkuev, S. V. Besaeva, “Spectral properties of difference and differential operators in weighted spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 16–21; Russian Math. (Iz. VUZ), 55:2 (2011), 13–17

Citation in format AMSBIB
\Bibitem{BicBes11}
\by M.~S.~Bichegkuev, S.~V.~Besaeva
\paper Spectral properties of difference and differential operators in weighted spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 16--21
\mathnet{http://mi.mathnet.ru/ivm7229}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2814817}
\elib{http://elibrary.ru/item.asp?id=15309275}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 13--17
\crossref{https://doi.org/10.3103/S1066369X11020022}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953012757}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Besaeva S.V., “O spektre raznostnykh operatorov v vesovykh prostranstvakh”, Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika, 2011, no. 1, 94–99  zmath  elib
    2. A. G. Baskakov, “Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations”, Russian Math. Surveys, 68:1 (2013), 69–116  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. M. S. Bichegkuev, “Spectral analysis of difference and differential operators in weighted spaces”, Sb. Math., 204:11 (2013), 1549–1564  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. S. V. Besaeva, “On the spectra of difference relations and differential operators on weighted spaces of sequences and functions”, St. Petersburg Math. J., 26:4 (2015), 499–513  mathnet  crossref  mathscinet  isi  elib  elib
    5. N. B. Uskova, “Matrichnyi analiz spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. elektron. matem. izv., 16 (2019), 369–405  mathnet  crossref
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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