A Proof of Simultaneous Linearization with a Polylog Estimate

• Autorzy: Tomoki Kawahira
• Języki publikacji: EN

Abstrakty

EN

We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.

Kategorie tematyczne

• 30D05: Functional equations in the complex domain, iteration and composition of analytic functions
• 37F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 1
• Strony: 43-52

Daty

wydano

2007

Twórcy

autor

Tomoki Kawahira

• Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602 Japan

Identyfikatory

DOI

10.4064/ba55-1-5