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Title: Noncommutative Functional Calculus (EB) : Theory and Applications of Slice Hyperholomorphic Functions/ by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. Dewey Class: 515.724 Author: Colombo, Fabrizio. Added Personal Name: Sabadini, Irene., 1965- author. Struppa, Daniele C. author. Publication: Basel : Springer Basel, 2011. Other name(s): SpringerLink (Online service) Physical Details: VI, 222 pages : online resource. Series: Progress in Mathematics ;; 289 ISBN: 9783034801102 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: <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>: Contents note: 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. ------------------------------ *** Es sind keine Exemplare vorhanden *** -----------------------------------------------
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