On fixed points of holomorphic type

Volume 94 / 2002

Ewa Ligocka Colloquium Mathematicum 94 (2002), 61-66 MSC: Primary 37J; Secondary 32A. DOI: 10.4064/cm94-1-5

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 ${{\mathbb C}}^2$.

Authors

  • Ewa LigockaInstitute of Mathematics
    Department of Mathematics, Computer Science and Mechanics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

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