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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) Russian version article
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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
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”, 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 Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 115--125
\mathnet{http://mi.mathnet.ru//eng/sm2782}
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590542}
\zmath{https://zbmath.org/?q=an:0479.35068|0464.35064}
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  • https://www.mathnet.ru/eng/sm/v155/i1/p133
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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