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functional calculi (in English)
Charles W. Swartz
(Author)
·
Carlos Bosch
(Author)
·
World Scientific Publishing Company
· Hardcover
functional calculi (in English) - Swartz, Charles W. ; Bosch, Carlos
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Synopsis "functional calculi (in English)"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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