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Título: Functional Calculi | |
| Autor: Carlos Bosch (Author), Charles Swartz | Precio: $1470.34 | |
| Editorial: World Scientific Publishing Co. Inc | Año: 2013 | |
| Tema: Matematicas, Calculo, Funciones | Edición: 1ª | |
| Sinopsis | ISBN: 9789814415972 | |
| 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. Readership: Graduate students, mathematicians, physicists or engineers interested in functions of operators |
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