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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 2, Pages 473–490
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003047 (Mi sm2178) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Asymptotic expansion of the state density and the spectral function of a Hill operator

D. Schenk, M. A. Shubin
English version PDF (908 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM1987v056n02ABEH003047
Abstract: Complete asymptotic expansions are obtained for the integrated state density and the spectral function of a Hill operator with smooth potential. These expansions can be differentiated any number of times outside small neighborhoods of forbidden zones.
Bibliography: 18 titles.
Received: 24.07.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 4(12), Pages 474–491
Bibliographic databases:
UDC: 517.984.5
MSC: Primary 34B25, 34B30, 34E05; Secondary 35J10, 70H99
Language: English
Original paper language: Russian
Citation: D. Schenk, M. A. Shubin, “Asymptotic expansion of the state density and the spectral function of a Hill operator”, Mat. Sb. (N.S.), 128(170):4(12) (1985), 474–491; Math. USSR-Sb., 56:2 (1987), 473–490
Citation in format AMSBIB
\Bibitem{SchShu85}
\by D.~Schenk, M.~A.~Shubin
\paper Asymptotic expansion of the state density and the spectral function of a~Hill operator
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 4(12)
\pages 474--491
\mathnet{http://mi.mathnet.ru/sm2178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=820398}
\zmath{https://zbmath.org/?q=an:0624.34018|0604.34015}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 473--490
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003047}
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  • https://www.mathnet.ru/eng/sm/v170/i4/p474
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:121
    English version PDF:10
    References:46
     
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