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arxiv: 0812.4544 · v1 · submitted 2008-12-24 · 🧮 math.CV

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

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keywords holomorphiclinearizationmappingssemigroupsabelianbeenclassicalcommuting
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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 Schr\"oder's classical functional equation.

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