Regular iteration of real and complex functions
From MaRDI portal
Publication:2523761
DOI10.1007/BF02559539zbMath0145.07903OpenAlexW2078333438MaRDI QIDQ2523761
Publication date: 1958
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02559539
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration of real functions in one variable (26A18)
Related Items (76)
Hardy fields and existence of transexponential functions ⋮ Note on Schröder's functional equation ⋮ The structure of regular disjoint groups of real homeomorphisms ⋮ Semi-groups and differential equations ⋮ On the connectedness of the space of codimension one foliations on a closed 3-manifold ⋮ On Koenigs' ratios for iterates of real functions ⋮ Infinitesimal actions of \(\mathbf {R}^2\) around isolated fixed points in the plane ⋮ Homogenization of codimension 1 actions of \(\mathbb{R}^ n\) near a compact orbit ⋮ Non linearizable holomorphic dynamics having an uncountable number of symmetries ⋮ Differentiability of conjugacies between dynamical systems of dimension 1 ⋮ On a limit formula for embeddings of diffeomorphisms in regular iteration semigroups ⋮ Foliations of \(M^ 3\) defined by \({\mathbb R}^ 2\)-actions ⋮ The embedding problem in iteration theory ⋮ Discretizing the fold bifurcation - a conjugacy result ⋮ The Distribution of Heights of Binary Trees and Other Simple Trees ⋮ On analytic iteration ⋮ Analytic solutions of Boettcher's functional equation in the unit disk ⋮ Embedding Iterates of Analytic Functions with Two Fixed Points into Continuous Groups ⋮ Solution of a generalized Schroeder equation in two variables ⋮ A limit formula for regular iteration groups ⋮ Sur l'unicité des solutions de l'équation d'abel-schröder et l'itération continue ⋮ LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS ⋮ Embeddability of Discrete Time Simple Branching Processes into Continuous Time Branching Processes ⋮ A weak Zassenhaus Lemma for discrete subgroups of Diff\((I)\) ⋮ On principal iteration semigroups in the case of multiplier zero ⋮ Topological rigidity of generic unfoldings of tangent to the identity diffeomorphisms ⋮ Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk ⋮ Distributions derived from the continuous iteration of the hyperbolic sine function ⋮ On the Schröder equation and iterative sequences of \(C ^{r }\) diffeomorphisms in \({\mathbb{R}^{N}}\) space ⋮ A new class of distributions on the whole real line based on the continuous iteration approach ⋮ Existence and genericity of finite topological generating sets for homeomorphism groups ⋮ Uniqueness of holomorphic Abel functions at a complex fixed point pair ⋮ Embedding homeomorphisms in \(C^ 1-\)flows ⋮ The Fatou coordinate for parabolic Dulac germs ⋮ Connectedness of the space of smooth actions of on the interval ⋮ Exact Observability of a 1-Dimensional Wave Equation on a Noncylindrical Domain ⋮ Fractional iteration of exponentially growing functions ⋮ The outer-distance of nodes in random trees ⋮ A model function for polynomial rates in discrete dynamical systems ⋮ Angular and unrestricted limits of one-parameter semigroups in the unit disk ⋮ Mather invariant, distortion, and conjugates for diffeomorphisms of the interval ⋮ On the nonexistence of iterative roots ⋮ Permutable power series and regular iteration ⋮ A connectedness result for commuting diffeomorphisms of the interval ⋮ Sharp regularity for certain nilpotent group actions on the interval ⋮ Portrait of the four regular super-exponentials to base sqrt(2) ⋮ On iteration groups of \(C^{1}\)-diffeomorphisms with two fixed points ⋮ Error estimates for approximating non-hyperbolic heteroclinic orbits of maps ⋮ Regular fractional iterations ⋮ Feuilletage et difféomorphismes infiniment tangents à l'identité ⋮ Discrete Riccati matrix equation and the order preserving property ⋮ Entire Functions, in the Classification of Differentiable Germs Tangent to the Identity, in One or Two Variables ⋮ A stochastic functional equation ⋮ On conjugacy by regularly varying functions ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Conjugacy of real diffeomorphisms. A survey ⋮ Zur Klassifizierung der linearen Operatoren auf Funktionenalgebren ⋮ Analytic Iteration ⋮ Centralizers of \(C^1\)-contractions of the half line ⋮ Problèmes rélatifs à l'itération de fonctions suggérés par les processus en cascade ⋮ On iterated functions with asymptotic conditions at a fixpoint ⋮ Linearization of complex hyperbolic Dulac germs ⋮ Fractional iteration and a generalised Abel's equation in two variables ⋮ Practical tests for the Schröder equation to have a regularly varying solution ⋮ Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class ⋮ Hyperbolicity as an obstruction to smoothability for one-dimensional actions ⋮ Computation of the two regular super-exponentials to base exp(1/e) ⋮ Groups of real analytic diffeomorphisms of the circle with a finite image under the rotation number function ⋮ A Random Graph With a Subcritical Number of Edges ⋮ Sequences Generated by Iteration ⋮ Étude théorique et numérique de la fonction de Karlin-McGregor ⋮ Abel's Equation and Regular Growth: Variations on a Theme by Abel ⋮ Abel's functional equation and eigenvalues of composition operators on spaces of real analytic functions ⋮ An example of a function with non-analytic iterates ⋮ On the height of trees ⋮ Questions and remarks on discrete and dense subgroups of Diff(I)
Cites Work
This page was built for publication: Regular iteration of real and complex functions
