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

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

ISBN 10: 3034803249 / ISBN 13: 9783034803243

Verlag: Birkhäuser, 2013

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Bibliografische Details

• Titel: Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (Progress in Mathematics, 289)
• Verlag: Birkhäuser
• Erscheinungsjahr: 2013
• Sprache: Englisch
• ISBN-10: 3034803249
• ISBN-13: 9783034803243
• Einband: Softcover
• Zustand: New

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Inhaltsangabe

<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>