Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T19:57:49.208Z 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
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)