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Functional Calculi

Name: Functional Calculi
Brand: World Scientific Publishing Co Pte Ltd
SKU: 01367890
Price: 96.39 EUR
Availability: InStock
Author: Charles Swartz
ISBN: 9789814415972

Charles Swartz

Language

English

Book Hardback

Libristo code: 01367890

Publishers World Scientific Publishing Co Pte Ltd, May 2013

A functional calculus is a construction which associates with an operator or a family of operators a... Full description

Libristo code: 01367890

236 b

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A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space. This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.