Authors
Citation
C. Arteaga, Commuting finite Blaschke products, ERGOD TH DY, 19, 1999, pp. 549-552
Citations number
6
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857
→ ACNP
Volume
19
Year of publication
1999
Part
3
Pages
549 - 552
Database
ISI
SICI code
0143-3857(199906)19:<549:CFBP>2.0.ZU;2-4
Abstract
We consider the set of finite Blaschke products F for which the fixed point
s on the circle S-1 are expanding and we prove that if F'(x) not equal F'(y
) for all different fixed points x, y of F on S-1, then F commutes only wit
h its own powers.