CYCLIC PHENOMENA FOR COMPOSITION OPERATORS

Authors
BOURDON PS SHAPIRO JH
Citation
Ps. Bourdon et Jh. Shapiro, CYCLIC PHENOMENA FOR COMPOSITION OPERATORS, Memoirs of the American Mathematical Society, 125(596), 1997, pp. 1
Citations number
55
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Memoirs of the American Mathematical Society → ACNP
ISSN journal
00659266
Volume
125
Issue
596
Year of publication
1997
Database
ISI
SICI code
0065-9266(1997)125:596<1:CPFCO>2.0.ZU;2-5
Abstract
We undertake a systematic study of cyclic phenomena for composition op erators. Our work shows that composition operators exhibit strikingly diverse types of cyclic behavior, and it connects this behavior with c lassical problems involving complex polynomial approximation and analy tic functional equations.