Iterations and logarithms of formal automorphisms

C. Praagman

doi:10.1007/BF02189922

Iterations and logarithms of formal automorphisms

C. Praagman

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

11 Citations (Scopus)

Abstract

Using the decomposition of an automorphism of the ring of formal power series in several variables, in a semisimple and a unipotent automorphism, I prove in this paper that an automorphism allows a continuous iteration if and only if it is the exponential of a derivation. This result implies a number of results recently obtained by Reich, Schwaiger, and Bucher.

Original language	English
Pages (from-to)	151-160
Number of pages	10
Journal	Aequationes Mathematicae
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/BF02189922
Publication status	Published - 1986

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abstract = "Using the decomposition of an automorphism of the ring of formal power series in several variables, in a semisimple and a unipotent automorphism, I prove in this paper that an automorphism allows a continuous iteration if and only if it is the exponential of a derivation. This result implies a number of results recently obtained by Reich, Schwaiger, and Bucher.",

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AB - Using the decomposition of an automorphism of the ring of formal power series in several variables, in a semisimple and a unipotent automorphism, I prove in this paper that an automorphism allows a continuous iteration if and only if it is the exponential of a derivation. This result implies a number of results recently obtained by Reich, Schwaiger, and Bucher.

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JO - Aequationes Mathematicae

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ER -

Iterations and logarithms of formal automorphisms

Abstract

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