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Composition Operators & Classical Function Theory

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Composition Operators & Classical Function Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

The study of composition operators links fundamental properties of linear operators and results from the classical theory of analytic functions. The author provides a self-contained introduction to both the subject and its function-theoretic underpinnings. He explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evolve into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Problems are included in each chapter.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780387940670
Author:
Shapiro, Joel H.
Publisher:
Springer
Location:
New York, NY
Subject:
Composition operators.
Subject:
Geometric function theory.
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Mathematics-Calculus
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
Softcover reprint of the original 1st ed. 1993
Series:
Universitext / Universitext: Tracts in Mathematics
Series Volume:
and Classical Functi
Publication Date:
19930826
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
239
Dimensions:
235 x 155 mm 770 gr

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