Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group (Q1399318)
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scientific article; zbMATH DE number 1956861
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group |
scientific article; zbMATH DE number 1956861 |
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Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group (English)
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30 July 2003
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The author applies the decomposition with respect to the group of roots of unity to characterize some classes of biholomorphic mappings in \(\mathbb{C}^n\). The author considers the problem of subordination and majorization between convex mappings and their components in the above representation. Finally, a distortion theorem for convex mappings and a criterion for starlikeness in \(\mathbb{C}^n\) are given.
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linear representation
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cyclic group
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starlike
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convex mapping
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subordination
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