Topological invariants for semigroups of holomorphic self-maps of the unit disk

DOI10.1016/j.matpur.2016.04.008zbMath1373.37106arXiv1506.08365OpenAlexW2963647617MaRDI QIDQ727849

Manuel D. Contreras, Filippo Bracci, Santiago Diaz-Madrigal

Publication date: 21 December 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08365

zbMATH Keywords

topological invariantsemigroup of holomorphic functionstopological normal form

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items

Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc, Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disk, Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc, A characterization of orthogonal convergence in simply connected domains

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