The Functional Calculus for Sectorial Operators


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The present monograph deals with the functional calculus for unbounded operators in general and for sectorial operators in particular. Sectorial operators abound in the theory of evolution equations, especially those of parabolic type. They satisfy a certain resolvent condition that leads to a holomorphic functional calculus based on Cauchy-type integrals. Via an abstract extension procedure, this elementary functional calculus is then extended to a large class of (even meromorphic) functions. With this functional calculus ...

The Functional Calculus for Sectorial Operators 2006, Birkhauser, Basel, Switzerland

ISBN-13: 9783764376970

2006 edition