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Memoirs of the American Mathematical Society
1997; 105 pp; softcover
List Price: US$47
Individual Members: US$28.20
Institutional Members: US$37.60
Order Code: MEMO/125/596
The cyclic behavior of a composition operator is closely tied to the dynamical behavior of its inducing map. Based on analysis of fixed-point and orbital properties of inducing maps, Bourdon and Shapiro show that composition operators exhibit strikingly diverse types of cyclic behavior. The authors connect this behavior with classical problems involving polynomial approximation and analytic functional equations.
This pioneering work forges new links between classical function theory and operator theory, and contributes new results to the study of classical analytic functional equations.
Graduate students and research mathematicians interested in complex analysis and its interaction with operator theory.
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