Open AccessSimultaneous Linearization of Holomorphic Maps with Hyperbolic and Parabolic Fixed Points
Author(s) -
Tetsuo Ueda
Publication year - 2008
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1207921077
Subject(s) - mathematics , holomorphic function , linearization , fixed point , mathematical analysis , limit (mathematics) , point (geometry) , pure mathematics , nonlinear system , geometry , physics , quantum mechanics
We study local holomorphic mappings of one complex variable with parabolic fixed points as a limit of a families of mappings with attracting fixed points. We show that the Fatou coordinate for a parabolic fixed point can be obtained as a limit of
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