@article{SPS_2002__36__457_0, author = {Kurtz, David}, title = {Repr\'esentation nucl\'eaire des martingales d'Az\'ema}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {36}, year = {2002}, pages = {457-476}, mrnumber = {1971604}, zbl = {1059.46045}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_2002__36__457_0} }
Kurtz, David. Représentation nucléaire des martingales d'Azéma. Séminaire de probabilités de Strasbourg, Tome 36 (2002) pp. 457-476. http://gdmltest.u-ga.fr/item/SPS_2002__36__457_0/
[At1] Approximating the Fock space with the toy Fock space. Prépublication de l'institut Fourier, 495 (2000).
).[At2] Extensions of quantum stochastic calculus. Quantum Prob. Communications XI, World Scientific. À paraître. | MR 2032361 | Zbl 1077.81518
).[A-M] Interprétation probabiliste et extension des intégrales stochastiques non commutatives. Séminaire de probabilités XXVII, LNM 1557, 312-327, Springer (1993). | Numdam | Zbl 0796.60055
)& ).[A-L] Quantum stochastic calculus with maximal operator domain. The Annals of Probability. À paraître. | Zbl 1053.81053
) & ).[BeL] The Kernel of a Fock Space Operator II. QP VIII, 87-94 (1993).
) & ).[Éme] On the Azéma Martingales. Séminaire de probabilités XXIII, LNM 1372, 66-87, Springer (1989). | Numdam | MR 1022899 | Zbl 0753.60045
).[Gui] Symmetric Hilbert Spaces and Related Topics. LNM 261, Springer (1970). | MR 493402 | Zbl 0265.43008
).[H-P] Quantum Ito's Formula and Stochastic Evolutions. Comm. Math. Phys., 93, 301-303 (1984). | Zbl 0546.60058
) & ).[Lin] The Kernel of a Fock Space Operator I. QP VIII, 271-280 (1993) | MR 1258334
).[Maa] Quantum Markov processes on Fock space described by integral kernels. QP II, 361-374 (1985). | MR 819517
).[Mel] Équations de structure des martingales et probabilités quantiques. Séminaire de probabilités XXIII, LNM 1372, 139-141, Springer (1989). | Numdam | MR 1022902 | Zbl 0739.60051
).[Me2] Notions sur les intégrales multiples. Séminaire de probabilités X, LNM 511, 321-331, Springer (1976).
).[Me3] Quantum Probability for Probabilists - 2nd ed. LNM 1538, Springer (1995). | MR 1222649 | Zbl 0877.60079
).[Me4] Construction de solutions d'équations de structure. Séminaire de probabilités XXIII, LNM 1372, 142-145 (1989). | Numdam | MR 1022903 | Zbl 0739.60050
).[Pa1] An Introduction to Quantum Stochastic Calculus. Birkhäuser (1992). | MR 1164866 | Zbl 0751.60046
).[Pa2] Azéma Martingales and Quantum Stochastic Calculus. Proceedings of the R. C. Bose Symposium on Probability, Statistics and design of Experiments, 551-569, Wiley Eastern (1990).
).[PSV] Chaotic Kabanov formula for the Azéma martingales. Bernouilli 6, 4, 633-651 (2000). | Zbl 1023.60046
), ) & ).[RuV] Product of two multiple stochastic integrals with respect to a normal martingale. Stochastic Processes and their Applications 73, 47-68 (1998). | Zbl 0946.60033
) & ).[Sch] The Azéma Martingales as Components of Quantum Independent Increment Processes. Séminaire de probabilités XXV, LNM 1485, 24-30, Springer (1991). | Numdam | MR 1187766 | Zbl 0745.60043
).[Yor] Some Aspects of Brownian Motion. Part II: Some Recents Martingales Problems. Lectures in Mathematics, ETH Zürich, Birkhäuser (1997). | MR 1442263 | Zbl 0880.60082
).