Normal forms and linearization of holomorphic dilation type semigroups in several variables
Complex Variables
2008-12-25 v1
Abstract
In this paper we study commuting families of holomorphic mappings in 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.
Cite
@article{arxiv.0812.4544,
title = {Normal forms and linearization of holomorphic dilation type semigroups in several variables},
author = {Filippo Bracci and Mark Elin and David Shoikhet},
journal= {arXiv preprint arXiv:0812.4544},
year = {2008}
}