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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 1, Pages 55–87
DOI: https://doi.org/10.1070/IM1983v020n01ABEH001339 (Mi im1605) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Approximation of infinite-zone potentials by finite-zone potentials

B. M. Levitan
English version PDF (936 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM1983v020n01ABEH001339
Abstract: In this paper it is proved that each infinite-zone potential of the class considered in the paper “Almost periodicity of infinite-zone potentials” (Izv. Akad. Nauk SSSR Ser. Mat., 1981, v. 45, № 2, pp. 291–320) is the uniform limit of finite-zone potentials on the entire real line. The proof is based on a detailed study of the problem of Jacobi inversion on a two-sheeted Riemann surface with an infinite number of branch points.
Bibliography: 5 titles.
Received: 12.01.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 1, Pages 56–87
Bibliographic databases:
UDC: 01.01.01
MSC: Primary 34B25, 34B30; Secondary 30D30
Language: English
Original paper language: Russian
Citation: B. M. Levitan, “Approximation of infinite-zone potentials by finite-zone potentials”, Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982), 56–87; Math. USSR-Izv., 20:1 (1983), 55–87
Citation in format AMSBIB
\Bibitem{Lev82}
\by B.~M.~Levitan
\paper Approximation of infinite-zone potentials by finite-zone potentials
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 1
\pages 56--87
\mathnet{http://mi.mathnet.ru/im1605}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=643893}
\zmath{https://zbmath.org/?q=an:0517.34037|0496.35008}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 1
\pages 55--87
\crossref{https://doi.org/10.1070/IM1983v020n01ABEH001339}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:335
    Russian version PDF:110
    English version PDF:8
    References:44
    First page:1
     
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