Commuting finite Blaschke products with no fixed points in the unit disk

DOI10.1016/j.jmaa.2009.06.010zbMath1178.30061OpenAlexW1984518495MaRDI QIDQ837588

Manuela Basallote, Carmen Hernández-Mancera, Manuel D. Contreras

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.010

zbMATH Keywords

Blaschke productiteration in the unit disk

Mathematics Subject Classification ID

Blaschke products (30J10)

Related Items (3)

Mean ergodic composition operators on Banach spaces of holomorphic functions ⋮ On the commutation of generalized means on probability spaces ⋮ Unicritical Blaschke products and domains of ellipticity

Cites Work

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• Composition operators and classical function theory
• Absolutely continuous conjugacies of Blaschke products
• When do finite Blaschke products commute?
• Commuting Analytic Functions
• Second angular derivatives and parabolic iteration in the unit disk
• On the Iteration of Analytic Functions in a Halplane II
• On the Iteration of Analytic Functions in a Halfplane, I
• Centralizers of Rational Functions
• Fixed points of commuting holomorphic mappings other than the Wolff point
• Some remarks on the Abel equation in the unit disk
• Commuting Analytic Functions Without Fixed Points

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