Artículos relacionados a Noncommutative Functional Calculus: Theory and Applications...

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

Libro 104 de 169: Progress in Mathematics

Struppa, Daniele C.; Colombo, Fabrizio; Sabadini, Irene

 
9783034801096: Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions: 289 (Progress in Mathematics, 289)
Tapa dura
ISBN 10: 3034801092 ISBN 13: 9783034801096
Editorial: Springer, 2011

Sinopsis

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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De la contraportada

<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>

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3034801092
ISBN 13 
9783034801096
Encuadernación
Tapa dura
Número de páginas
230
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Otras ediciones populares con el mismo título

9783034803243: Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions: 289 (Progress in Mathematics)

Edición Destacada

ISBN 10:  3034803249 ISBN 13:  9783034803243
Editorial: Birkhäuser, 2013
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