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Mathematics of the USSR-Sbornik, 1985, Volume 51, Issue 1, Pages 67–89
DOI: https://doi.org/10.1070/SM1985v051n01ABEH002847 (Mi sm1985) 		 
This article is cited in 25 scientific papers (total in 25 papers)

On the closure of the set of finite-zone potentials

B. M. Levitan
English version PDF (960 kB) Citations (25)
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DOI: https://doi.org/10.1070/SM1985v051n01ABEH002847
Abstract: A special class of almost-periodic potentials of the one-dimensional Schrödinger operator is studied. These potentials are limits of finite-zone potentials. In contrast to previous work of the author in which a class of almost-periodic potentials was considered with lacunae in the spectrum having a single limit point at infinity, in this paper the case is studied where the lacunae in the spectrum also have finite limit points. There may be infinitely many of the latter.
Figures: 2.
Bibliography: 10 titles.
Received: 25.03.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 123(165), Number 1, Pages 69–91
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J10; Secondary 35P25
Language: English
Original paper language: Russian
Citation: B. M. Levitan, “On the closure of the set of finite-zone potentials”, Mat. Sb. (N.S.), 123(165):1 (1984), 69–91; Math. USSR-Sb., 51:1 (1985), 67–89
Citation in format AMSBIB
\Bibitem{Lev84}
\by B.~M.~Levitan
\paper On the closure of the set of finite-zone potentials
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 123(165)
\issue 1
\pages 69--91
\mathnet{http://mi.mathnet.ru/sm1985}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=728930}
\zmath{https://zbmath.org/?q=an:0589.34026}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 51
\issue 1
\pages 67--89
\crossref{https://doi.org/10.1070/SM1985v051n01ABEH002847}
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    • This publication is cited in the following 25 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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    Abstract page:296
    Russian version PDF:87
    English version PDF:8
    References:49
    First page:1
     
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