On the uniqueness of classical semiconjugations for self-maps of the disk

DOI10.1007/BF03321619zbMath1182.30040arXivmath/0511584MaRDI QIDQ879658

Pietro Poggi-Corradini

Publication date: 14 May 2007

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511584

zbMATH Keywords

analytic selfmaps, iterates, semiconjugations, functional equations, uniqueness.

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (5)

Backward iteration in the unit ball ⋮ Iteration in the disk and the ball: a survey of the role of hyperbolic geometry ⋮ Canonical models for the forward and backward iteration of holomorphic maps ⋮ Geometric description of the classification of holomorphic semigroups ⋮ Canonical models for holomorphic iteration

Cites Work

• Schroeder's equation in several variables.
• Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk
• Cyclic phenomena for composition operators
• On the Iteration of Analytic Functions in a Halplane II
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• Some remarks on the Abel equation in the unit disk
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