Schroeder's equation in several variables.

DOI10.11650/TWJM/1500407524zbMath1033.32011OpenAlexW1548142582MaRDI QIDQ1811451

Barbara D. MacCluer, Carl C. Cowen

Publication date: 29 March 2004

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407524

zbMATH Keywords

iterationHardy spaceBergman spacecomposition operatorseveral complex variablesSchroeder's functional equationKoenigs map

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear composition operators (47B33) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Functional equations for complex functions (39B32)

Related Items (9)

A solution to Schröder's equation in several variables ⋮ Backward iteration in the unit ball ⋮ Simultaneous models for commuting holomorphic self-maps of the ball ⋮ On the uniqueness of classical semiconjugations for self-maps of the disk ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Canonical models for holomorphic iteration ⋮ Schröder equation in several variables and composition operators. ⋮ The linear fractional model on the ball ⋮ Solving the Schröder equation at the boundary in several variables

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