Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Non-linearizability of polynomials at irrationally indifferent fixed points
Yûsuke Okuyama
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1999 年 22 巻 1 号 p. 56-65

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In this paper, we consider the non-linearizability of polynomials with irrationally indifferent fixed points. Under the assumption that there exists a cubic polynomial which is linearizable at an irrationally indifferent fixed point with a non-Brjuno multiplier, we show that, for every degree more than two, one can construct a holomorphic family of possible maximal dimension consisting of polynomials linearizable at the fixed point.
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© Department of Mathematics, Tokyo Institute of Technology
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