Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions: 289 (Progress in Mathematics, 289) - Hardcover

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

Hardcover

ISBN 10: 3034801092 ISBN 13: 9783034801096

Publisher: Birkhäuser, 2011

Synopsis

<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>

About this title

From the Back Cover

<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>

Edition details

• Publisher: Birkhäuser
• Publication date: 2011
• Language: English
• ISBN 10: 3034801092
• ISBN 13: 9783034801096
• Binding: Hardcover
• Number of pages: 228