On fixed points of holomorphic type

Ewa Ligocka

Colloquium Mathematicae (2002)

  • Volume: 94, Issue: 1, page 61-66
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Ewa Ligocka. "On fixed points of holomorphic type." Colloquium Mathematicae 94.1 (2002): 61-66. <http://eudml.org/doc/284867>.

@article{EwaLigocka2002,
abstract = {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.},
author = {Ewa Ligocka},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {61-66},
title = {On fixed points of holomorphic type},
url = {http://eudml.org/doc/284867},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Ewa Ligocka
TI - On fixed points of holomorphic type
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 1
SP - 61
EP - 66
AB - 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.
LA - eng
UR - http://eudml.org/doc/284867
ER -

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