Valiron and Abel equations for holomorphic self-maps of the polydisc

DOI10.1142/S0129167X16500348zbMath1379.32014arXiv1509.04169OpenAlexW2963667961MaRDI QIDQ2807997

Pavel Gumenyuk, Leandro Arosio

Publication date: 25 May 2016

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

Full work available at URL: https://arxiv.org/abs/1509.04169

zbMATH Keywords

automorphismpolydiscAbel equationholomorphic self-mapValiron equation

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Functional equations for complex functions (39B32) Dynamical systems over complex numbers (37F99)

Related Items (2)

Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$ ⋮ Denjoy-Wolff points on the bidisk via models

Cites Work

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• Holomorphic retracts in complex n-space
• Quelques propriétés des applications analytiques d'une boule à \(m\) dimensions dans elle-même
• A generalization of the Aumann-Caratheodory Starrheitssatz
• Canonical models for holomorphic iteration
• Abstract Basins of Attraction
• On the Iteration of Analytic Functions in a Halplane II
• On the Iteration of Analytic Functions in a Halfplane, I

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