00000cmm a22000004a 4500 UP-99796217611507866 Buklod 20230215084831.0 m o j cr cn |||aaaaa 110317s2011 xx u | eng d 9783034801102 (eBook) 3034801106 (eBook) (iLib)UPD-00239906461 DML eng DMLUC QA 320 C65 2011eb Colombo, Fabrizio Noncommutative functional calculus theory and applications of slice hyperholomorphic functions [electronic resource] by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. Berlin, Heidelberg Springer 2011. 1 online resource (vi, 222p.) ill. Progress in mathematics IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. This book presents a functional calculus for 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. 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Functional analysis. Mathematics Functional Analysis. Mathematics. Electronic books. Sabadini, Irene. Struppa, Daniele C. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://dx.doi.org/10.1007/978-3-0348-0110-2 FO Monograph UPD DMLR Electronic Resource