{"product_id":"noncommutative-functional-calculus-theory-and-applications-of-slice-hyperholomorphic-functions-hardcover","title":"Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions - Hardcover","description":"\u003cp\u003eby \u003cb\u003eProf Fabrizio Col Politecnico Di Milano\u003c\/b\u003e (Author), \u003cb\u003eIrene Sabadini\u003c\/b\u003e (Author), \u003cb\u003eDaniele C. Struppa\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book presents a functional calculus for \u003ci\u003en\u003c\/i\u003e-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e \u003c\/p\u003e \u003cp\u003eExcept for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book presents a functional calculus for \u003ci\u003en\u003c\/i\u003e-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e \u003c\/p\u003e \u003cp\u003eExcept for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 222\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.7 x 9.2 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 23, 2011\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47407546892466,"sku":"9783034801096","price":89.08,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/bf187a654b2b09aaf01df0ac3ff117e5.webp?v=1778223080","url":"https:\/\/box.dadyminds.org\/products\/noncommutative-functional-calculus-theory-and-applications-of-slice-hyperholomorphic-functions-hardcover","provider":"DADYMINDS BOX","version":"1.0","type":"link"}