Erschienen: 21.04.2013 Abbildung von Politecnico di Milano / Sabadini / Struppa | Noncommutative Functional Calculus | 2013 | Theory and Applications of Sli... | 289

Politecnico di Milano / Sabadini / Struppa

Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

2013. Buch. vi, 222 S. Bibliographien. Softcover

Birkhäuser. ISBN 978-3-0348-0324-3

Format (B x L): 15,5 x 23,5 cm

Gewicht: 355 g

In englischer Sprache

Das Werk ist Teil der Reihe: Progress in Mathematics; 289

Produktbeschreibung

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.

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