Stochastic Processes and Operator Calculus on Quantum Groups
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1999
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| Schriftenreihe: | Mathematics and Its Applications
490 |
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| Online-Zugang: | Volltext |
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| 245 | 1 | 0 | |a Stochastic Processes and Operator Calculus on Quantum Groups |c by Uwe Franz, René Schott |
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| 490 | 0 | |a Mathematics and Its Applications |v 490 | |
| 500 | |a Quantum groups have been investigated rather deeply in mathematical physics over the last decade. Among the most prominent contributions in this area let us mention the works of V.G. Drinfeld, S.L. Woronowicz, S. Majid. Prob ability the ory on quantum groups has developed in several directions (see works of P. Biane, RL. Hudson and K.R Partasarathy, P.A. Meyer, M. Schürmann, D. Voiculescu). The aim of this book is to present several new aspects related to quantum groups: operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Much of the ma terial is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of representation theory in connection with Appell systems is original with the authors. Stochastic processes (example: Brownian motion, diffusion processes, Levy processes) are in vestigated and several examples are presented. As a text the work is intended to be accessible to graduate students and researchers not specialised in quantum prob ability. We would like to acknowledge our colleagues P. Feinsilver, R Lenzceswki, D. | ||
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Datensatz im Suchindex
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| author | Franz, Uwe |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9277-2 |
| format | Electronic eBook |
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| isbn | 9789401592772 9789048152902 |
| language | English |
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| spelling | Franz, Uwe Verfasser aut Stochastic Processes and Operator Calculus on Quantum Groups by Uwe Franz, René Schott Dordrecht Springer Netherlands 1999 1 Online-Ressource (VIII, 232 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 490 Quantum groups have been investigated rather deeply in mathematical physics over the last decade. Among the most prominent contributions in this area let us mention the works of V.G. Drinfeld, S.L. Woronowicz, S. Majid. Prob ability the ory on quantum groups has developed in several directions (see works of P. Biane, RL. Hudson and K.R Partasarathy, P.A. Meyer, M. Schürmann, D. Voiculescu). The aim of this book is to present several new aspects related to quantum groups: operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Much of the ma terial is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of representation theory in connection with Appell systems is original with the authors. Stochastic processes (example: Brownian motion, diffusion processes, Levy processes) are in vestigated and several examples are presented. As a text the work is intended to be accessible to graduate students and researchers not specialised in quantum prob ability. We would like to acknowledge our colleagues P. Feinsilver, R Lenzceswki, D. Mathematics Group theory Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Group Theory and Generalizations Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Quantengruppe (DE-588)4252437-4 gnd rswk-swf Operatorenrechnung (DE-588)4389717-4 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 s Operatorenrechnung (DE-588)4389717-4 s Quantengruppe (DE-588)4252437-4 s 1\p DE-604 Schott, René Sonstige oth https://doi.org/10.1007/978-94-015-9277-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Franz, Uwe Stochastic Processes and Operator Calculus on Quantum Groups Mathematics Group theory Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Group Theory and Generalizations Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd Quantengruppe (DE-588)4252437-4 gnd Operatorenrechnung (DE-588)4389717-4 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4252437-4 (DE-588)4389717-4 |
| title | Stochastic Processes and Operator Calculus on Quantum Groups |
| title_auth | Stochastic Processes and Operator Calculus on Quantum Groups |
| title_exact_search | Stochastic Processes and Operator Calculus on Quantum Groups |
| title_full | Stochastic Processes and Operator Calculus on Quantum Groups by Uwe Franz, René Schott |
| title_fullStr | Stochastic Processes and Operator Calculus on Quantum Groups by Uwe Franz, René Schott |
| title_full_unstemmed | Stochastic Processes and Operator Calculus on Quantum Groups by Uwe Franz, René Schott |
| title_short | Stochastic Processes and Operator Calculus on Quantum Groups |
| title_sort | stochastic processes and operator calculus on quantum groups |
| topic | Mathematics Group theory Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Group Theory and Generalizations Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd Quantengruppe (DE-588)4252437-4 gnd Operatorenrechnung (DE-588)4389717-4 gnd |
| topic_facet | Mathematics Group theory Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Group Theory and Generalizations Mathematik Stochastischer Prozess Quantengruppe Operatorenrechnung |
| url | https://doi.org/10.1007/978-94-015-9277-2 |
| work_keys_str_mv | AT franzuwe stochasticprocessesandoperatorcalculusonquantumgroups AT schottrene stochasticprocessesandoperatorcalculusonquantumgroups |