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.
- ISBN10 1283250764
- ISBN13 9781283250764
- Publish Date 1 January 2006
- Publish Status Active
- Out of Print 25 March 2015
- Publish Country US
- Imprint Birkhauser Basel
- Format eBook
- Pages 406
- Language English