On the Analytic Continuation of Holomorphic Mappings
On the Analytic Continuation of Holomorphic Mappings
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DOI：
10.1070/sm1975v027n03abeh002520
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发表时间：
1975-04
期刊：
影响因子：
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通讯作者：
S. I. Pinčuk
中科院分区：
文献类型：
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作者：
S. I. Pinčuk
设和为具有实解析边界的严格伪凸域，设和为连通点的邻域。假设映射是全纯的。证明了它可以全纯连到。如果域是球面且单连通，则从上扩展到一个生物全纯映射。参考书目：12篇。
Let and be strictly pseudoconvex domains in with real analytic boundaries and , and let be a neighborhood of the point with connected. Assume that the mapping is holomorphic in , in , and that . The author proves that can be holomorphically continued to . If the domain is a sphere and is simply connected, then extends to a biholomorphic mapping from onto .Bibliography: 12 titles.