Noncommutative Functional Calculus von Prof. Fabrizio Colombo Politecnico di Milano | Theory and Applications of Slice Hyperholomorphic Functions | ISBN 9783034803243

Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

von Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini und Daniele C. Struppa
Mitwirkende
Autor / AutorinProf. Fabrizio Colombo Politecnico di Milano
Autor / AutorinIrene Sabadini
Autor / AutorinDaniele C. Struppa
Buchcover Noncommutative Functional Calculus | Prof. Fabrizio Colombo Politecnico di Milano | EAN 9783034803243 | ISBN 3-0348-0324-9 | ISBN 978-3-0348-0324-3

Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

von Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini und Daniele C. Struppa
Mitwirkende
Autor / AutorinProf. Fabrizio Colombo Politecnico di Milano
Autor / AutorinIrene Sabadini
Autor / AutorinDaniele C. Struppa

< 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>

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< 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>