Iteration in the disk and the ball: a survey of the role of hyperbolic geometry

DOI10.1007/S13324-011-0018-XzbMath1254.32028OpenAlexW2125921636MaRDI QIDQ692066

Pietro Poggi-Corradini

Publication date: 4 December 2012

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-011-0018-x

zbMATH Keywords

hyperbolic geometryunit ballunit disciteration of analytic maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Holomorphic functions of several complex variables (32A10)

Related Items (2)

Geometric Julia-Wolff theorems for weak contractions ⋮ A Counterexample to Parabolic Dichotomies in Holomorphic Iteration

Cites Work

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• Backward iteration in the unit ball
• On the uniqueness of classical semiconjugations for self-maps of the disk
• Valiron's construction in higher dimension
• Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk
• On the Iteration of Analytic Functions in a Halplane II
• On the Iteration of Analytic Functions in a Halfplane, I

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