Recurrent Fuchsian groups whose Riemann surfaces have infinite dimensional spaces of bounded harmonic functions

DOI10.3792/pjaa.65.211zbMath0709.30038OpenAlexW2042147380MaRDI QIDQ921172

John A. Velling

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.211

zbMATH Keywords

Fuchsian group

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Classification theory of Riemann surfaces (30F20)

Related Items

The Poisson boundary of covering Markov operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function theory, random paths and covering spaces
• The bounded weak-star topology and the bounded analytic functions
• A note on unramified Abelian covering surfaces of a closed Riemann surface
• Über den Idealen Rand und Einige Seiner Anwendungen bei der Klassifikation der Riemannschen Flächen
• Examples of discrete groups of hyperbolic motions conservative but not ergodic at infinity
• On Fuchsian groups of accessible type
• Ergodic theory and the geodesic flow on surfaces of constant negative curvature