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Composition operators and classical function theory

Author: Joel H Shapiro
Publisher: New York : Springer-Verlag, ©1993.
Series: Universitext., Tracts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings. The development is geometrically motivated, and accessible to anyone who has studied basic graduate-level real and complex analysis. The  Read more...
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Additional Physical Format: Online version:
Shapiro, Joel H.
Composition operators and classical function theory.
New York : Springer-Verlag, ©1993
(OCoLC)624346596
Document Type: Book
All Authors / Contributors: Joel H Shapiro
ISBN: 0387940677 9780387940670 3540940677 9783540940678
OCLC Number: 28505377
Description: xiii, 223 pages : illustrations ; 24 cm.
Contents: 0. Linear Fractional Prologue --
1. Littlewood's Theorem --
2. Compactness: Introduction --
3. Compactness and Univalence --
4. The Angular Derivative --
5. Angular Derivatives and Iteration --
6. Compactness and Eigenfunctions --
7. Linear Fractional Cyclicity --
8. Cyclicity and Models --
9. Compactness from Models --
10. Compactness: General Case.
Series Title: Universitext., Tracts in mathematics.
Responsibility: Joel H. Shapiro.
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Abstract:

The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book offers an  Read more...

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