This article is cited in 7 scientific papers (total in 8 papers)
Holomorphic extension of mappings of compact hypersurfaces
A. G. Vitushkin
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.
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Mathematics of the USSR-Izvestiya, 1983, 20:1, 27–33
MSC: Primary 32D15; Secondary 32H99, 32C05
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
\paper Holomorphic extension of mappings of compact hypersurfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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A. V. Loboda, “Linearizability of automorphisms of non-spherical surfaces”, Math. USSR-Izv., 21:1 (1983), 171–186
S. M. Ivashkovich, “Extension of locally biholomorphic mappings of domains into complex projective space”, Math. USSR-Izv., 22:1 (1984), 181–189
A. G. Vitushkin, “Real-analytic hypersurfaces in complex manifolds”, Russian Math. Surveys, 40:2 (1985), 1–35
A. G. Vitushkin, “Extension of the germ of a holomorphic map of a strictly pseudo-convex surface”, Russian Math. Surveys, 40:4 (1985), 229–230
N. G. Kruzhilin, “Local automorphisms and mappings of smooth strictly pseudoconvex hypersurfaces”, Math. USSR-Izv., 26:3 (1986), 531–552
V. V. Ezhov, “Linearization of stability groups of a class of hypersurfaces”, Russian Math. Surveys, 41:3 (1986), 203–204
V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 183–190
Michael Eastwood, Alexander Isaev, “Examples of unbounded homogeneous domains in complex space”, Sci China Ser A, 48:s1 (2005), 248
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