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Autor Colombo, Fabrizio. author.

Título Noncommutative Functional Calculus [electronic resource] : Theory and Applications of Slice Hyperholomorphic Functions / by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.

Publicación Basel : Springer Basel, 2011.
Descripción física VI, 222 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Progress in Mathematics ; 289
Progress in Mathematics ; 289
Springer eBooks. Mathematics and Statistics
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Contiene: 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index.
Resumen: <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>.
Materia Mathematics.
Functional analysis.
Functions of complex variables.
Operator theory.
Mathematics.
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Operator Theory.
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Functional Analysis.
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Functions of a Complex Variable.
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Autor secundario Sabadini, Irene., author.
Struppa, Daniele C., author.
SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9783034801096
ISBN 9783034801102 978-3-0348-0110-2
ISBN/ISSN 10.1007/978-3-0348-0110-2 doi