Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1983, Volume 23, Pages 33–78 (Mi intd68)  
This article is cited in 51 scientific papers (total in 51 papers)

Matrix finite-gap operators

B. A. Dubrovin
Full-text PDF (2358 kB) Citations (51)
Abstract: A survey is given of the spectral properties of matrix finite-zone operators. Conditions of the type of $J$-self-adjointness for such operators and explicit formulas expressing the coefficients of such operators in terms of theta functions are obtained. The simplest examples of such $J$-self-adjoint, finite-zone operators turn out to be connected with the theory of ovals of plane, real, algebraic curves.
English version:
Journal of Soviet Mathematics, 1985, Volume 28, Issue 1, Pages 20–50
DOI: https://doi.org/10.1007/BF02104895
Bibliographic databases:
UDC: 517.957+512.7
Language: Russian
Citation: B. A. Dubrovin, “Matrix finite-gap operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 23, VINITI, Moscow, 1983, 33–78; J. Soviet Math., 28:1 (1985), 20–50
Citation in format AMSBIB
\Bibitem{Dub83}
\by B.~A.~Dubrovin
\paper Matrix finite-gap operators
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1983
\vol 23
\pages 33--78
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd68}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=734313}
\zmath{https://zbmath.org/?q=an:0561.58043}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 28
\issue 1
\pages 20--50
\crossref{https://doi.org/10.1007/BF02104895}
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    • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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