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

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

2008-12-24

arxiv.org/abs/0812.4544v1

Mathematics

Complex Variables

Scientific paper

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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