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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 1, Pages 27–33
DOI: https://doi.org/10.1070/IM1983v020n01ABEH001337
(Mi im1603)
 

This article is cited in 10 scientific papers (total in 11 papers)

Holomorphic extension of mappings of compact hypersurfaces

A. G. Vitushkin
References:
Abstract: In this article it is proved that any holomorphic mapping of a compact, nonspherical, strictly pseudoconvex real-analytic hypersurface in an $n$-dimensional complex manifold ($n\geqslant2$) onto another such surface extends holomorphically to a neighborhood of the first surface which is independent of the choice of mapping, and that the family of extensions of mappings is equicontinuous in this neighborhood.
Bibliography: 4 titles.
Received: 18.09.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 1, Pages 28–35
Bibliographic databases:
UDC: 517.5
MSC: Primary 32D15; Secondary 32H99, 32C05
Language: English
Original paper language: Russian
Citation: A. G. Vitushkin, “Holomorphic extension of mappings of compact hypersurfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982), 28–35; Math. USSR-Izv., 20:1 (1983), 27–33
Citation in format AMSBIB
\Bibitem{Vit82}
\by A.~G.~Vitushkin
\paper Holomorphic extension of mappings of compact hypersurfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 1
\pages 28--35
\mathnet{http://mi.mathnet.ru/im1603}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=643891}
\zmath{https://zbmath.org/?q=an:0571.32011}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 1
\pages 27--33
\crossref{https://doi.org/10.1070/IM1983v020n01ABEH001337}
Linking options:
  • https://www.mathnet.ru/eng/im1603
  • https://doi.org/10.1070/IM1983v020n01ABEH001337
  • https://www.mathnet.ru/eng/im/v46/i1/p28
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:277
    Russian version PDF:67
    English version PDF:8
    References:42
    First page:1
     
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