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portada composition operators
composition operatorscomposition operatorscomposition operators
Type
Physical Book
Publisher
Author
Language
English
Pages
223
ISBN
0387940677
ISBN13
9780387940670
Categories

composition operators

Shapiro (Author) · Springer · Physical Book

composition operators - shapiro

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Synopsis "composition operators"

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.

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