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＜電子ブック＞
Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions / by Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
(Progress in Mathematics. ISSN:2296505X ; 289)

版	1st ed. 2011.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2011
本文言語	英語
大きさ	VI, 222 p : online resource
著者標目	*Politecnico di Milano, Prof. Fabrizio Colombo author Sabadini, Irene author Struppa, Daniele C author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Functional analysis LCSH:Functions of complex variables FREE:Operator Theory FREE:Functional Analysis FREE:Functions of a Complex Variable
一般注記	1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index <i>This book presents a functional calculus for <i>n</i>-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.</i> <br>  <p>Except 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.</p> HTTP:URL=https://doi.org/10.1007/978-3-0348-0110-2

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