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Cover image for book The Functional Calculus for Sectorial Operators

The Functional Calculus for Sectorial Operators

By:Markus Haase
Publisher:Springer Nature
Print ISBN:9783764376970
eText ISBN:9783764376987
Edition:0
Copyright:2006
Format:Page Fidelity

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This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.