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- W2006658711 abstract "For the germ of a holomorphic mapping F : (U, 0) → (C, 0) of the form F(z) = ρz + ⋯, where ρ is a primitive root of unity of order d⩾2, criteria for the existence of a continuous iterative root of given order and the topological linearizability of F are given. The following conditions are equivalent: (1) Fd = Id; (2) the germ of the mapping F(z) is topologically conjugate to the germ of the mapping qz; (3) the germ of the mapping F has a continuous iterative root of order dk for every k ⩾ 1. If Fd ≠ Id, then for a given positive integer N the germ of the mapping F has a continuous iterative root of order N iff d · gcd(N, ind(Fd, 0) − 1) divides ind(Fd, 0) −1." @default.
- W2006658711 created "2016-06-24" @default.
- W2006658711 creator A5028492348 @default.
- W2006658711 date "1997-04-01" @default.
- W2006658711 modified "2023-09-27" @default.
- W2006658711 title "On the nonexistence of iterative roots" @default.
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- W2006658711 doi "https://doi.org/10.1016/s0166-8641(96)00107-1" @default.
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