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Composition Operators: And Classical Function Theory

Composition Operators: And Classical Function Theory

Paperback

CalculusGeneral Mathematics

ISBN10: 0387940677
ISBN13: 9780387940670
Publisher: Springer
Published: Aug 26 1993
Pages: 223
Weight: 0.76
Height: 0.51 Width: 6.14 Depth: 9.21
Language: English
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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Calculus