We study a linearization of a real-analytic plane map in the neighborhood of its fixed point of holomorphic type. We prove a generalization of the classical Koenig theorem. To do that, we use the well known results concerning the local dynamics of holomorphic mappings in ℂ².
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-5,
author = {Ewa Ligocka},
title = {On fixed points of holomorphic type},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {61-66},
zbl = {1090.37031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-5}
}
Ewa Ligocka. On fixed points of holomorphic type. Colloquium Mathematicae, Tome 91 (2002) pp. 61-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-5/