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This article is cited in 10 scientific papers (total in 11 papers)
Holomorphic extension of mappings of compact hypersurfaces
A. G. Vitushkin
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
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
Linking options:
https://www.mathnet.ru/eng/im1603https://doi.org/10.1070/IM1983v020n01ABEH001337 https://www.mathnet.ru/eng/im/v46/i1/p28
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Abstract page: | 277 | Russian version PDF: | 67 | English version PDF: | 8 | References: | 42 | First page: | 1 |
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