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On boundary regularity of proper holomorphic mappings - MaRDI portal

On boundary regularity of proper holomorphic mappings (Q1433427)

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scientific article; zbMATH DE number 2075742
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English
On boundary regularity of proper holomorphic mappings
scientific article; zbMATH DE number 2075742

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    On boundary regularity of proper holomorphic mappings (English)
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    17 June 2004
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    This paper shows that a proper holomorphic mapping \(f: D\longrightarrow D^{\prime}\) from a domain \(D\subset {\mathbb C}^n\) with real-analytic boundary to a domain \(D^{\prime}\subset{\mathbb C}^n\) with real-algebraic boundary extends holomorphically to a neighborhood of \(\overline{D}.\)
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    Proper holomorphic mapping
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    real-analytic boundary
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    real-algebraic boundary
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