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: | , , |
|---|---|
| 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 |
| LEADER | 03751nam a22004697a 4500 | ||
|---|---|---|---|
| 001 | 968495 | ||
| 008 | 110415q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN151591180 | ||
| 020 | |a 9783034801102 | ||
| 020 | |a 9783034801102 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.724 | ||
| 084 | |a 30G35. 2010 | ||
| 084 | |a 47A60. 2010 | ||
| 100 | 1 | |a Colombo, Fabrizio, |d 1964-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Noncommutative functional calculus : |b theory and applications of slice hyperholomorphic functions |c Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 289 |x 2296-505X | |
| 500 | |a Description d'après consultation du 09 avril 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | |a Analyse fonctionnelle | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 650 | |a Théorie des opérateurs | ||
| 700 | 1 | |a Sabadini, Irene, |d 1965- |4 aut | |
| 700 | 1 | |a Struppa, Daniele Carlo, |d 1955- |4 aut | |
| 776 | 0 | |t Noncommutative Functional Calculus |b Texte imprimé |z 9783034803243 | |
| 776 | 0 | |t Noncommutative Functional Calculus |b Texte imprimé |z 9783034801119 | |
| 776 | 0 | |0 151850232 |t Noncommutative functional calculus |o theory and applications of slice hyperholomorphic functions |f Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa |c Basel |n Birkhäuser |d 2011 |p 1 vol. (VI-221 p.) |s Progress in Mathematics |z 978-3-03-480109-6 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0110-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Z4STNDK1-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750619813 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0110-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753977893 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0110-2 |z Accès INSA CVL | |
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