The Functional Calculus for Sectorial Operators (Operator Theory: Advances and Applications, Band 169)
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The Functional Calculus for Sectorial Operators (Operator Theory: Advances and Applications, Band 169)

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ISBN-13:
9783764376970
Einband:
Gebundene Ausgabe
Seiten:
394
Autor:
Markus Haase
Gewicht:
728 g
SKU:
INF1000012795
Sprache:
Englisch
Beschreibung:

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.
First systematic account of functional calculus for sectorial (and other types of unbounded) operators
Axiomatics for Functional Calculi.- The Functional Calculus for Sectorial Operators.- Fractional Powers and Semigroups.- Strip-type Operators and the Logarithm.- The Boundedness of the H?-Calculus.- Interpolation Spaces.- The Functional Calculus on Hilbert Spaces.- Differential Operators.- Mixed Topics.

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