Description

Book Synopsis

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.



Table of Contents
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.

The Functional Calculus for Sectorial Operators

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    A Hardback by Markus Haase

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      Book details

      Publisher Birkhauser Verlag AG
      Published 14 June 2006
      ISBN-13 9783764376970
      978-3764376970
      ISBN-10 376437697X
      Also in:
      Mathematics Functional analysis and transforms

      Description

      Book Synopsis

      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.



      Table of Contents
      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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