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Cyclic Phenomena for Composition Operators

โœ Scribed by Paul S. Bourdon, Joel H. Shapiro


Publisher
Amer Mathematical Society
Year
1997
Tongue
English
Leaves
122
Series
Memoirs AMS 596
Category
Library

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Cyclic Phenomena for Composition Operato
โœ Paul S. Bourdon, Joel H. Shapiro ๐Ÿ“‚ Library ๐Ÿ“… 1997 ๐Ÿ› Amer Mathematical Society ๐ŸŒ English

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