Über einen Satz von Shl. Sternberg in der Theorie der analytischen Iterationen

DOI10.1007/BF01541637zbMath0353.32006MaRDI QIDQ1236220

Jens Schwaiger, Ludwig Reich

Publication date: 1977

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177814

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Other generalizations of function theory of one complex variable (32A30) Power series rings (13J05)

Related Items (17)

Roots, iterations and logarithms of formal automorphisms ⋮ Remarks on iteration of formal automorphisms ⋮ Sechzehntes Internationales Symposium über Funktionalgleichungen; 3.--10. September 1978 in Schloß Retzhof bei Leibnitz (Österreich) ⋮ A survey on iterations in rings of formal power series in one indeterminate ⋮ Über die Funktionalgleichung \(N\circ T=T\circ M\) für formale Potenzreihen ⋮ Linearisierung formal-biholomorpher Abbildungen und Iterationsprobleme ⋮ The Translation Equation in the Ring of Formal Power Series Over ℂ and Formal Functional Equations ⋮ On the nonexistence of iterative roots ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ On Covariant Embeddings of a Linear Functional Equation with Respect to an Analytic Iteration Group ⋮ A new approach to the description of one-parameter groups of formal power series in one indeterminate ⋮ Families of commuting formal power series and formal functional equations ⋮ Kontinuierliche Iteration formal-biholomorpher Abbildungen und Differenzenrechnung ⋮ On the solution of the translation equation in rings of formal power series ⋮ Über ein Problem von J. Schwaiger und Z. Moszner betreffend die Vertauschbarkeit von einparametrigen Automorphismengruppen formaler Potenzreihenringe. (On a problem of J. Schwaiger and Z. Moszner concerning the commutativity of one-parameter groups of automorphisms of rings of formal power series) ⋮ Relations between generalized Aczél-Jabotinsky and Aczél-Jabotinsky differential equations ⋮ Iterations and logarithms of formal automorphisms

Cites Work

• Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt
• Formal power series transformations
• Zur Majorantenmethode im Normalformenproblem für analytische Differentialgleichungssysteme.
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