Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

von Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa

222 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

<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>

• Reihe: Progress in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783034803243
• Sprache: Englisch
• Erscheinungsdatum: 21.04.2013
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Basel