Cyclic Phenomena for Composition Operators
Shapiro, Joel H., Bourdon, Paul S.
ISBN 10: 0821806300 ISBN 13: 9780821806302
Published by American Mathematical Society, 1997
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Soft cover
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About this Item
Description:
Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 57756401-6
Synopsis:
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. Features include: complete classification of the cyclic behavior of composition operators induced by linear-fractional mappings; application of linear-fractional models to obtain more general cyclicity results; and, information concerning the properties of solutions to Schroeder's and Abel's 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.
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Bibliographic Details
Title: Cyclic Phenomena for Composition Operators
Publisher: American Mathematical Society
Publication Date: 1997
Binding: Soft cover
Condition: Good