Evolution equations and Lévy processes on quantum groups

Journal of Physics A: Mathematical and General

Volumn 31, Issue 5, 1998, Pages 1395-1404

  Franz, U ^a,b   Schott, R ^a  

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

^b CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032488748     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/5/009     Document Type: Article

References (17)

1. Anderson RFV 1969 The Weyl functional calculus J. Funct. Anal 4 240-67
2. Andruskiewitsch N, Devoto J and Tiraboschi A 1994 Quantum Heisenberg groups and Sklyanin algebras Lett. Math. Phys. 31 167-77
3. Feinsilver Ph, Franz U and Schott R 1997 Duality and multiplicative stochastic processes on quantum groups J. Theor. Prob. 10 795-818
4. Feinsilver Ph and Schott R 1992 Appell systems on Lie groups J. Theor. Prob. 5 251-81
5. Folland G B 1989 Harmonic Analysis in Phase Space (Princeton, NJ: Princeton University Press)
6. Feinsilver Ph and Franz U 1997 Brownian motion on the affine group and generalized Gegenbauer polynomials, in preparation
7. 24, ASI-TPA/28/95
8. Franz U, Neuenschwander D and Schott R 1997 Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups Prob. Theory Related Fields 109 101-27
9. Kempf A and Majid S 1994 Algebraic q-integration and Fourier theory on quantum and braided spaces J. Math. Phys. 35 4483-96
10. Koornwinder T H 1995 Minicourse 'Special functions and q-commuting variables' at Workshop on 'Special functions, q-series and related topics' (Fields Institute, Toronto, Canada, 12-23 June 1995)
11. Majid S 1992 C-statistical quantum groups and Weyl algebras J. Math. Phys. 33 3431-44
12. Majid S 1993 Braided momentum in the q-Poincare group J. Math. Phys. 34 2045-58
13. Majid S 1995 Foundations of Quantum Group Theory (Cambridge: Cambridge University Press)
14. Meyer P-A 1993 Quantum Probability for Probabilists (Lect. Notes Math., 1538) (Berlin: Springer)
15. Schürmann M 1993 White Noise on Bialgebras (Lect. Notes Math., 1544) (Berlin: Springer)
16. Weyl H 1931 The Theory of Groups and Quantum Mechanics (London: Methuen) (reprint 1950 New York: Dover)
17. Wigner E 1932 On the quantum corrections for thermodynamic equilibrium Phys. Rev. 40 749-59