| Dewey Class |
515.724 |
| Titel |
Noncommutative Functional Calculus (EB) : Theory and Applications of Slice Hyperholomorphic Functions / by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. |
| Verfasser |
Colombo, Fabrizio. |
| Added Personal Name |
Sabadini, Irene. , 1965- author. |
| Struppa, Daniele C. author. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Basel : Springer Basel , 2011. |
| Physical Details |
VI, 222 pages : online resource. |
| Reihe |
Progress in Mathematics ; ; 289 |
| ISBN |
9783034801102 |
| Summary Note |
<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>: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Functions of a Complex Variable .
Functions of complex variables .
Mathematics .
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