Title: Composition Operators: and Classical Function Theory (Universitext: Tracts in Mathematics)
Publisher: Springer
Publication Date: 1993
Language: English
ISBN 10: 0387940677
ISBN 13: 9780387940670
Binding: Soft cover
Condition: new

About this title

Synopsis

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, and features a development accessible to anyone who has studied basic graduate level real and complex analysis. The work traces how such operator-theoretic issues as boundedness, compactness, and cyclicity, when studied in the context of composition operators, evolve into questions about subordination, value-distribution, angular derivatives, iteration, and functional equations; and it carefully develops each of these classical topics.

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