Iteration for holomorphic maps of the open unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\)

DOI10.1016/0022-247X(84)90249-XzbMath0587.32008OpenAlexW2042717991MaRDI QIDQ1072683

Gong-Ning Chen

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90249-x

zbMATH Keywords

unit ballgeneralized upper half-plane of \({\mathbb{C}}^ n\)iteration of holomorphic functions in the unit disk of \({\mathbb{C}}\)

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Other generalizations of function theory of one complex variable (32A30) Holomorphic functions of several complex variables (32A10)

Related Items (8)

Horospheres and iterates of holomorpic maps ⋮ Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups ⋮ Horoballs and iteration of holomorphic maps on bounded symmetric domains ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric ⋮ Iterations of holomorphic maps of infinite dimensional homogeneous domains ⋮ Random iterations of holomorphic contractions in locally convex spaces and of weaker contractions in uniform spaces ⋮ Iteration of holomorphic maps in Hilbert spaces

Cites Work

• Iteration of analytic functions of operators
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