Der Hauptsatz über Iteration im Ring der formalen Potenzreihen

DOI10.1007/BF02311316zbMath0627.39005MaRDI QIDQ1092342

Günther H. Mehring

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137192

zbMATH Keywords

fractionalautomorphismformal power seriescontinuoussmooth normal formsanalytic iteratesring of power series

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Power series, series of functions of several complex variables (32A05) Formal power series rings (13F25) Matrix and operator functional equations (39B42)

Related Items (3)

The Translation Equation in the Ring of Formal Power Series Over ℂ and Formal Functional Equations ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ Families of commuting formal power series and formal functional equations

Cites Work

• Roots of formal power series in one variable
• Über Iteration ohne Regularitätsbedingungen im Ring der formalen Potenzreihen in einer Variablen
• Über die Funktionalgleichung \(N\circ T=T\circ M\) für formale Potenzreihen
• Linearisierung formal-biholomorpher Abbildungen und Iterationsprobleme
• Power series in one variable
• Formal power series transformations
• Fundamental solutions for meromorphic linear difference equations in the complex plane, and related problems.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Der Hauptsatz über Iteration im Ring der formalen Potenzreihen