عنوان

Composition operators and classical function theory /

شابک

0387940677

شابک

3540940677

شابک

9780387940670

شابک

9783540940678

شماره

dltt

عنوان اصلي

Composition operators and classical function theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Joel H. Shapiro

نام خاص و کميت اثر

xiii, 223 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

Universitext. Tracts in mathematics

متن يادداشت

Includes bibliographical references and indexes

متن يادداشت

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

بدون عنوان

2

متن يادداشت

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

عنوان

Composition operators and classical function theory.

موضوع مستند نشده

Composition operators

موضوع مستند نشده

Geometric function theory

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Shapiro, Joel H

تاريخ عمليات

20160712055110.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y