Hostname: page-component-7b7567c8c-2rsb6 Total loading time: 0 Render date: 2026-11-12T18:36:16.968Z Has data issue: false hasContentIssue false
  • English
  • Français

Commuting finite Blaschke products

Published online by Cambridge University Press:  01 June 1999

CARLOS ARTEAGA
CARLOS ARTEAGA
Affiliation:
Departamento de Matematica - ICEX, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, 30161-970, Belo Horizonte-MG, Brazil
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We consider the set of finite Blaschke products $F$ for which the fixed points on the circle $S^1$ are expanding and we prove that if $F'(x) \ne F'(y)$ for all different fixed points $x,y$ of $F$ on $S^1$, then $F$ commutes only with its own powers.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 3 , June 1999, pp. 549 - 552
Copyright
1999 Cambridge University Press