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

In this paper we study when two finite Blaschke products commute. We complete previous results by Chalendar and Mortini (when they have a fixed point in the unit disk) and by Arteaga (when they do not have a fixed point in the unit disk).

Detalhes bibliográficos
Autores: Basallote Galván, Manuela, Contreras Márquez, Manuel Domingo, Hernández Mancera, Carmen
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2009
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/166217
Acesso em linha:https://hdl.handle.net/11441/166217
https://doi.org/10.1016/j.jmaa.2009.06.010
Access Level:acceso abierto
Palavra-chave:Commuting
Blaschke products
Iteration in the unit disk
Descrição
Resumo:In this paper we study when two finite Blaschke products commute. We complete previous results by Chalendar and Mortini (when they have a fixed point in the unit disk) and by Arteaga (when they do not have a fixed point in the unit disk).