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Noncommutative Functional Calculus Theory and Applications of Slice Hyperholomorphic Functions /
<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 valu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Progress in Mathematics,
289 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-3-0348-0110-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220402072452.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110317s2011 sz | s |||| 0|eng d | ||
| 020 | |a 9783034801102 |9 978-3-0348-0110-2 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0110-2 |2 doi | |
| 050 | 4 | |a QA329-329.9 | |
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| 082 | 0 | 4 | |a 515.724 |2 23 |
| 100 | 1 | |a Politecnico di Milano, Prof. Fabrizio Colombo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Noncommutative Functional Calculus |h [electronic resource] : |b Theory and Applications of Slice Hyperholomorphic Functions / |c by Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2011. | |
| 300 | |a VI, 222 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Mathematics, |x 2296-505X ; |v 289 | |
| 505 | 0 | |a 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. | |
| 520 | |a <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>. | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 1 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 700 | 1 | |a Sabadini, Irene. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Struppa, Daniele C. |e author. |0 (orcid)0000-0002-3664-1729 |1 https://orcid.org/0000-0002-3664-1729 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803243 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034801096 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034801119 |
| 830 | 0 | |a Progress in Mathematics, |x 2296-505X ; |v 289 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0110-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||