On the nonexistence of iterative roots (Q676961)
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scientific article; zbMATH DE number 993983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the nonexistence of iterative roots |
scientific article; zbMATH DE number 993983 |
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On the nonexistence of iterative roots (English)
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1 June 1997
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The paper deals with the existence of a continuous iterative root of a given order for the germ of a holomorphic mapping \(F: (U,0) \to (\mathbb C,0)\) of the form \(F(z) =\rho z+ \dots\) where \(\rho\) is the primitive root of unity of order \(\geq 2\). Conditions guaranteeing the existence of this root and the topological linearizability of \(F\) are given.
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iterative root
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topological conjugation
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index of fixed points
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multiplicity of zeros
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