Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions - Couverture rigide

Politecnico Di Milano, Prof. Fabrizio Colombo; Sabadini, Irene; Struppa, Daniele C.

Couverture rigide

ISBN 10 : 3034801092 ISBN 13 : 9783034801096

Editeur : Springer Basel, 2011

Synopsis

This book presents a functional calculus for n-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.

A propos du livre

Présentation de l'éditeur

This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non-commuting linear operators.

Détails de l'édition

• Éditeur: Springer Basel
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 3034801092
• ISBN 13: 9783034801096
• Reliure: Relié
• Nombre de pages: 228
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne