{"product_id":"9789814415996","title":"Functional Calculi","description":"\u003cp\u003eA 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.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cb\u003eContents: \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eVector and Operator Valued Measures\u003c\/li\u003e\n\u003cli\u003eFunctions of a Self Adjoint Operator\u003c\/li\u003e\n\u003cli\u003eFunctions of Several Commuting Self Adjoint Operators\u003c\/li\u003e\n\u003cli\u003eThe Spectral Theorem for Normal Operators\u003c\/li\u003e\n\u003cli\u003eIntegrating Vector Valued Functions\u003c\/li\u003e\n\u003cli\u003eAn Abstract Functional Calculus\u003c\/li\u003e\n\u003cli\u003eThe Riesz Operational Calculus\u003c\/li\u003e\n\u003cli\u003eWeyl's Functional Calculus\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendices:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThe Orlicz–Pettis Theorem\u003c\/li\u003e\n\u003cli\u003eThe Spectrum of an Operator\u003c\/li\u003e\n\u003cli\u003eSelf Adjoint, Normal and Unitary Operators\u003c\/li\u003e\n\u003cli\u003eSesquilinear Functionals\u003c\/li\u003e\n\u003cli\u003eTempered Distributions and the Fourier Transform\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students, mathematicians, physicists or engineers interested in functions of operators.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185286529264,"sku":"9789814415996","price":22.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814415996_p0.jpg?v=1763691258","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814415996","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}