When do finite Blaschke products commute?-Reference-Cited by-同舟云学术

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When do finite Blaschke products commute?

Published:2001-10 Issue:2 Volume:64 Page:189-200
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Chalendar Isabelle,Mortini Raymond

Abstract

We study the following questions. Which finite Blaschke products are eigenvectors of the composition operatorsTu:f↦f∘u, what are the possible eigenvalues, and which pairs (B,C) of finite Blaschke products commute (that is, satisfyB∘C=C∘B).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Composition Operators and Classical Function Theory

2. Commuting analytic functions without fixed points

3. Permutable rational functions

4. Expanding endomorphisms of the circle revisited;Schub;Ergodic. Theory Dynamical Systems,1985

5. Commuting endomorphisms of the circle

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