The formal translation equation and formal cocycle equations for iteration groups of type I

DOI10.1007/S00010-007-2903-9zbMath1185.39015OpenAlexW2027460117MaRDI QIDQ2378028

Ludwig Reich, Harald Fripertinger

Publication date: 5 January 2009

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

Full work available at URL: https://doi.org/10.1007/s00010-007-2903-9

zbMATH Keywords

formal power seriestranslation equationiteration groupsformal functional equationscocycle equationsAczel-Jabotinsky type equationsformal differential equations

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Formal power series rings (13F25)

Related Items (10)

On the formal first cocycle equation for iteration groups of type II ⋮ The projective translation equation and rational plane flows. I ⋮ On the formal second cocycle equation for iteration groups of type II ⋮ A survey on iterations in rings of formal power series in one indeterminate ⋮ The formal translation equation for iteration groups of type II ⋮ Multi-variable translation equation which arises from homothety ⋮ The Translation Equation in the Ring of Formal Power Series Over ℂ and Formal Functional Equations ⋮ Formal functional equations and generalized Lie–Gröbner series ⋮ Families of commuting formal power series and formal functional equations ⋮ The projective translation equation and unramified 2-dimensional flows with rational vector fields

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