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

Por: Colombo, Fabrizio [author.]Colaborador(es): Sabadini, Irene [author.] | Struppa, Daniele C [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Progress in Mathematics ; 289Editor: Basel : Springer Basel, 2011Descripción: VI, 222 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783034801102Tema(s): Mathematics | Functional analysis | Functions of complex variables | Operator theory | Mathematics | Operator Theory | Functional Analysis | Functions of a Complex VariableFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.724 Clasificación LoC:QA329-329.9Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: <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>
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA329 -329.9 (Browse shelf(Abre debajo)) 1 No para préstamo 373059-2001

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.

<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>

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