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
Summary
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
Analysis
wiskunde
mathematics
functionaalanalyse
functional analysis
Mathematics (General)
Wiskunde (algemeen)
Bibliography
Includes bibliographical references (pages 361-376) and index
