Unbounded convex mappings of the ball in \(\mathbb{C}^n\) (Q2731936)
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scientific article; zbMATH DE number 1626809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unbounded convex mappings of the ball in \(\mathbb{C}^n\) |
scientific article; zbMATH DE number 1626809 |
Statements
30 July 2001
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biholomorphic
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convex mapping
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holomorphic automorphism
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Unbounded convex mappings of the ball in \(\mathbb{C}^n\) (English)
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The authors study univalent holomorphic mappings of the unit ball in \(\mathbb{C}^n\) whose images contain a real line through the origin. They show that under certain reasonable conditions, up to composition with an automorphism of the ball, such a mapping is an extension of the strip mapping in the plane to higher dimensions.
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