Linear fractional mappings: invariant sets, semigroups and commutativity

DOI10.1007/S11784-009-0103-ZzbMath1176.30034OpenAlexW2002007109MaRDI QIDQ1031978

Simeon Reich, Fiana Yacobzon, David M. Shoikhet

Publication date: 23 October 2009

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-009-0103-z

zbMATH Keywords

Cauchy problemone-parameter continuous semigroupDenjoy-Wolff fixed pointKœnigs embedding propertyKœnigs functionlinear fractional mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (4)

Rigidity and parametric embedding of semi-complete vector fields on the unit disk ⋮ Convergence characteristics of one-parameter continuous semigroups ⋮ Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disk ⋮ The Schwarz Lemma: Rigidity and Dynamics

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