عنوان
پدید آورنده
موضوع
رده
QA329.2 .S48 1993
QA329
.
2
.
S48
1993
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0387940677
(Number (ISBN
3540940677
(Number (ISBN
9780387940670
(Number (ISBN
9783540940678
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Composition operators and classical function theory /
General Material Designation
[Book]
First Statement of Responsibility
Joel H. Shapiro
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 223 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm
SERIES
Series Title
Universitext. Tracts in mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and indexes
CONTENTS NOTE
Text of Note
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
2
SUMMARY OR ABSTRACT
Text of Note
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 work explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evolve - in the setting of composition operators on the Hilbert space H2 into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Each of these classical topics is developed fully, and particular attention is paid to their common geometric heritage as descendants of the Schwarz Lemma
OTHER EDITION IN ANOTHER MEDIUM
Title
Composition operators and classical function theory.
TOPICAL NAME USED AS SUBJECT
Composition operators
Geometric function theory
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
7246
Edition
20
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA329
.
2
Book number
.
S48
1993
PERSONAL NAME - PRIMARY RESPONSIBILITY
Shapiro, Joel H
ORIGINATING SOURCE
Date of Transaction
20160712055110.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
