Analytic self-mappings of infinite order of Riemann surfaces

DOI10.1007/BF02797685zbMath0473.30005MaRDI QIDQ1158540

Albert Marden, Christian Pommerenke

Publication date: 1980

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

iterationFuchsian groupRiemann surfacecovering mapmapping of infinite order

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Covering theorems in conformal mapping theory (30C25)

Related Items

Absorbing sets and Baker domains for holomorphic maps ⋮ Polymorphic functions for groups of divergence type ⋮ On the connectivity of the Julia sets of meromorphic functions ⋮ Iteration of functions which are meromorphic outside a small set

Cites Work

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• On a problem of Heinz Hopf
• On finitely generated Fuchsian groups
• On homotopic mappings of Riemann surfaces
• On the Iteration of Analytic Functions in a Halplane II
• On Discrete Groups of Mobius Transformations