FUNCTIONAL CALCULI - Bosch Carlos
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Toimitus 17-23 arkipäivässä
30 päivän palautusoikeus
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 sever ... Täydellinen kuvaus
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Kuvaus
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.
Lisätietoja
| Kirjoittaja | Bosch Carlos |
|---|---|
| Julkaisija | World Scientific |
| Julkaisuvuosi | 2013 |
| Kannen tyyppi | Kovakantinen |
| EAN | 9789814415972 |