Composition Operators: and Classical Function Theory (Universitext: Tracts in Mathematics) - Softcover

Shapiro, Joel H. H.

 
9780387940670: Composition Operators: and Classical Function Theory (Universitext: Tracts in Mathematics)

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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9783540940678: Composition operators and classical function theory (Univeristext)

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ISBN 10:  3540940677 ISBN 13:  9783540940678
Publisher: Springer-Verlag, 1993
Softcover