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Böttcher coordinates for polynomial skew products

Published online by Cambridge University Press:  21 November 2014

KOHEI UENO
KOHEI UENO*
Affiliation:
Daido University, Nagoya 457-8530, Japan email k-ueno@daido-it.ac.jp
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Abstract

It is known that a polynomial on $\mathbb{C}$ is holomorphically conjugate to its term of highest degree near infinity. By assigning suitable weights, we generalize this fact to polynomial skew products on $\mathbb{C}^{2}$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 4 , June 2016 , pp. 1260 - 1277
Copyright
© Cambridge University Press, 2014 

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