Functional Calculus for Sectorial Operators

Name: Functional Calculus for Sectorial Operators
Brand: Birkhauser Verlag AG
SKU: 9783764376970
Price: 2568 CZK
Availability: InStock

Autor: Markus Haase

Jazyk:

Vazba: Pevná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele v malém množství

Odesíláme za 13-18 dnů

2 568 Kč

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

Informace o knize

Autor

Markus Haase

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2006

Stránek

394

EAN

9783764376970

ISBN

376437697X

Enbook ID

01716861

Vydavatel

Birkhauser Verlag AG

Hmotnost

1650

Rozměry

155 x 235 x 27

Kompletní popis

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.

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Functional Calculus for Sectorial Operators

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také