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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Functional Calculi
• Author: Charles Swartz
• Language: English
• Binding: Hardback
• Number of pages: 228
• EAN: 9789814415972
• ISBN: 9814415979
• ID: 01367890
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 520 g
• Dimensions: 232 × 157 × 19 mm
• Date of publishing: 29. May 2013

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