The Functional Calculus for Sectorial Operators

Language: English

Published by Springer, Basel, Birkhäuser, 2006

376437697X / 9783764376970

Series: Book 14 of 132 - Operator Theory: Advances and Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

Seller Inventory # 9783764376970

Title
The Functional Calculus for Sectorial Operators
Author
Markus Haase
Publisher
Springer, Basel, Birkhäuser
Publication year
2006
Condition
Neu
Binding
Buch
Language
English
ISBN 10
376437697X
ISBN 13
9783764376970
Item weight
777 grams
Dimensions
243x156x24 mm
Series
Book 14 of 132: Operator Theory: Advances and Applications

AHA-BUCH GmbH

Einbeck, Germany

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