A01=Carlos Bosch
A01=Charles W Swartz
Author_Carlos Bosch
Author_Charles W Swartz
Category=PBKA
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eq_isMigrated=2
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Functional Calculus
Normal Operator
Riesz Operational Calculus
Self Adjoint Operator
Spectral Theorem
Weyl Functional Calculus
Product details
- ISBN 9789814415972
- Publication Date: 29 May 2013
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
