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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 115–125
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002224 (Mi sm2782) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a periodic potential

M. M. Skriganov
English version PDF (681 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM1982v041n01ABEH002224
Abstract: The spectrum of the multidimensional polyharmonic differential operator is investigated. The finiteness of the number of connected components of the spectrum is proved.
Bibliography: 10 titles.
Received: 26.11.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 1(9), Pages 133–145
Bibliographic databases:
UDC: 517.9
MSC: 31B30, 35J30, 35P05, 47E05
Language: English
Original paper language: Russian
Citation: M. M. Skriganov, “Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a periodic potential”, Mat. Sb. (N.S.), 113(155):1(9) (1980), 133–145; Math. USSR-Sb., 41:1 (1982), 115–125
Citation in format AMSBIB
\Bibitem{Skr80}
\by M.~M.~Skriganov
\paper Finiteness of the number of lacunae in the spectrum of the multidimensional polyharmonic operator with a~periodic potential
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 1(9)
\pages 133--145
\mathnet{http://mi.mathnet.ru/sm2782}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590542}
\zmath{https://zbmath.org/?q=an:0479.35068|0464.35064}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 115--125
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002224}
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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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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:100
    English version PDF:13
    References:61
     
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