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Functional Calculi, Hardback Book

Hardback

Description

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.

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