Iteration theory and its functional equations

DOI10.1007/BF02925242zbMath0715.39008OpenAlexW2041026482MaRDI QIDQ3202603

György Targonski

Publication date: 1988

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925242

zbMATH Keywords

Lie groupsdynamical systemresearch surveyiterative rootsformal power seriesiteration theoryregular embeddingsPilgerschritt transformtime one mapJabotinsky functional equationphantom dynamicsproduct Taylor expansion

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02)

Cites Work

• Über eine Methode zur Auffindung stetiger Iterationen in Lie-Gruppen
• Structure de l'automate plein, reduit et inversible
• Some Differential Equations Related to Iteration Theory
• When is f(f(z)) = az 2 + bz + c?
• Analytic Iteration
• Iterates of Fractional Order
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