On the general solution of the system of cocycle equations without regularity conditions

DOI10.1007/S00010-004-2742-XzbMath1073.39014OpenAlexW1999515205MaRDI QIDQ704870

Ludwig Reich, Harald Fripertinger

Publication date: 20 January 2005

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

Full work available at URL: https://doi.org/10.1007/s00010-004-2742-x

zbMATH Keywords

exponential functionsregular solutionsadditive functionslinear functional equationiteration grouprings of formal power seriessystem of cocycle equations

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Formal power series rings (13F25)

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On the formal second cocycle equation for iteration groups of type II ⋮ Formal functional equations and generalized Lie–Gröbner series

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