Functional Calculus for Sectorial Operators

Name: Functional Calculus for Sectorial Operators
Brand: Birkhauser Verlag AG
SKU: 9783764376970
Price: 41443 HUF
Availability: InStock

Szerző: Markus Haase

Nyelv:

Kötés: Kemény kötésű

Kiadó: Birkhauser Verlag AG

Elérhetőség: Beszállítói készleten alacsony példányszámban

Küldés 13-18 napon belül

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This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculu...

Információk a könyvről

Szerző

Markus Haase

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2006

oldal

394

EAN

9783764376970

ISBN

376437697X

Enbook ID

01716861

Kiadó

Birkhauser Verlag AG

Súly

1650

Méretek

155 x 235 x 27

Teljes leírás

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.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 at hand, the book elegantly covers holomorphic semigroups, fractional powers, and logarithms. Special attention is given to perturbation results and the connection with the theory of interpolation spaces. A chapter is devoted to the exciting interplay between numerical range conditions, similarity problems and functional calculus on Hilbert spaces. Two chapters describe applications, for example to elliptic operators, to numerical approximations of parabolic equations, and to the maximal regularity problem.§This book is the first systematic account of a subject matter which lies in the intersection of operator theory, evolution equations, and harmonic analysis. It is an original and comprehensive exposition of the theory as a whole. Written in a clear style and optimally organised, it will prove useful for the advanced graduate as well as for the experienced researcher.

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Functional Calculus for Sectorial Operators

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