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...
Guardat en:
| Autors principals: | , , |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2011. |
| Col·lecció: | Progress in Mathematics
289 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 09 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Noncommutative Functional Calculus, Texte imprimé, 9783034803243 • Noncommutative Functional Calculus, Texte imprimé, 9783034801119 • Noncommutative functional calculus, theory and applications of slice hyperholomorphic functions, Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Basel, Birkhäuser, 2011, 1 vol. (VI-221 p.), Progress in Mathematics, 978-3-03-480109-6 |
| Sumari: | <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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| Descripció de l’ítem: | Description d'après consultation du 09 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783034801102 |
| ISSN: | 2296-505X |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |