White Noise on Bialgebras
Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L....
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| Format: | Livre numérique |
| Sprog: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1544 |
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| Edition sous un autre format: | • White noise on bialgebras, Michael Schürmann, Berlin, Springer-Verlag, 1993, 1 vol. (146 p.), Lecture notes in mathematics, 3-540-56627-9 • White Noise on Bialgebras, Texte imprimé, 9783662215142 |
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| 020 | |a 9783540476146 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Schürmann, Michael, |d 1955-...., |c mathématicien. | |
| 245 | 1 | 0 | |a White Noise on Bialgebras |c by Michael Schürmann. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1544 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic concepts and first results -- Symmetric white noise on Bose Fock space -- Symmetrization -- White noise on bose fock space -- Quadratic components of conditionally positive linear functionals -- Limit theorems. | |
| 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 Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudsonand K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book will be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should havesome knowledge of functional analysis, operator algebras, and probability theory. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse stochastique | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Algèbre | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 016826515 |t White noise on bialgebras |f Michael Schürmann |c Berlin |n Springer-Verlag |d 1993 |p 1 vol. (146 p.) |s Lecture notes in mathematics |z 3-540-56627-9 | |
| 776 | 0 | |t White Noise on Bialgebras |b Texte imprimé |z 9783662215142 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0089237 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-NWCJM6Q7-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750644699 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0089237 |z Accès Université d'Orléans | |
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