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arXiv · 0812.4544

Normal forms and linearization of holomorphic dilation type semigroups in several variables

Filippo Bracci·Mark Elin·David Shoikhet
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Abstract

In this paper we study commuting families of holomorphic mappings in $\mathbb{C}^n$ which form abelian semigroups with respect to their real parameter. Linearization models for holomorphic mappings are been used in the spirit of Schröder's classical functional equation.

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Filippo Bracci, Mark Elin, David Shoikhet. 2008-12-24. Normal forms and linearization of holomorphic dilation type semigroups in several variables. https://arxiv.org/abs/0812.4544

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