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arXiv · 1810.01782

Approximation and Loewner Theory of holomorphic covering mappings

Matteo Fiacchi
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Abstract

We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of $\mathbb{C}^n$ with respect to an arbitrary norm, with entire holomorphic covering mappings. The results rely on a generalization of the Loewner theory for covering mappings which we develop in the paper.

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Matteo Fiacchi. 2018-10-03. Approximation and Loewner Theory of holomorphic covering mappings. https://doi.org/10.1007/s10231-019-00900-6

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