Représentation nucléaire des martingales d'Azéma

David Kurtz

Séminaire de probabilités de Strasbourg (2002)

  • Volume: 36, page 457-476

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Kurtz, David. "Représentation nucléaire des martingales d'Azéma." Séminaire de probabilités de Strasbourg 36 (2002): 457-476. <http://eudml.org/doc/114105>.

@article{Kurtz2002,
author = {Kurtz, David},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Azema martingale; non-commutative probability; chaos decomposition},
language = {fre},
pages = {457-476},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Représentation nucléaire des martingales d'Azéma},
url = {http://eudml.org/doc/114105},
volume = {36},
year = {2002},
}

TY - JOUR
AU - Kurtz, David
TI - Représentation nucléaire des martingales d'Azéma
JO - Séminaire de probabilités de Strasbourg
PY - 2002
PB - Springer - Lecture Notes in Mathematics
VL - 36
SP - 457
EP - 476
LA - fre
KW - Azema martingale; non-commutative probability; chaos decomposition
UR - http://eudml.org/doc/114105
ER -

References

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  1. [At1] Attal ( S.). Approximating the Fock space with the toy Fock space. Prépublication de l'institut Fourier, 495 (2000). 
  2. [At2] Attal ( S.). Extensions of quantum stochastic calculus. Quantum Prob. Communications XI, World Scientific. À paraître. Zbl1077.81518MR2032361
  3. [A-M] Attal ( S.)& Meyer ( P.-A.). Interprétation probabiliste et extension des intégrales stochastiques non commutatives. Séminaire de probabilités XXVII, LNM1557, 312-327, Springer (1993). Zbl0796.60055
  4. [A-L] Attal ( S.) & Lindsay ( J.M.). Quantum stochastic calculus with maximal operator domain. The Annals of Probability. À paraître. Zbl1053.81053
  5. [BeL] Belavkin ( V.P.) & Lindsay ( J.M.). The Kernel of a Fock Space Operator II. QP VIII, 87-94 (1993). 
  6. [Éme] Émery ( M.). On the Azéma Martingales. Séminaire de probabilités XXIII, LNM1372, 66-87, Springer (1989). Zbl0753.60045MR1022899
  7. [Gui] Guichardet ( A.). Symmetric Hilbert Spaces and Related Topics. LNM261, Springer (1970). Zbl0265.43008MR493402
  8. [H-P] Hudson ( R.L.) & Parthasarathy ( K.R.). Quantum Ito's Formula and Stochastic Evolutions. Comm. Math. Phys., 93, 301-303 (1984). Zbl0546.60058
  9. [Lin] Lindsay ( J.M.).The Kernel of a Fock Space Operator I. QP VIII, 271-280 (1993) MR1258334
  10. [Maa] Maassen ( H.). Quantum Markov processes on Fock space described by integral kernels. QP II, 361-374 (1985). MR819517
  11. [Mel] Meyer ( P.-A.). Équations de structure des martingales et probabilités quantiques. Séminaire de probabilités XXIII, LNM1372, 139-141, Springer (1989). Zbl0739.60051MR1022902
  12. [Me2] Meyer ( P.-A.). Notions sur les intégrales multiples. Séminaire de probabilités X, LNM511, 321-331, Springer (1976). 
  13. [Me3] Meyer ( P.-A.). Quantum Probability for Probabilists - 2nd ed. LNM1538, Springer (1995). Zbl0877.60079MR1222649
  14. [Me4] Meyer ( P.-A.). Construction de solutions d'équations de structure. Séminaire de probabilités XXIII, LNM1372, 142-145 (1989). Zbl0739.60050MR1022903
  15. [Pa1] Parthasarathy ( K.R.). An Introduction to Quantum Stochastic Calculus. Birkhäuser (1992). Zbl0751.60046MR1164866
  16. [Pa2] Parthasarathy ( K.R.). 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). 
  17. [PSV] Privault ( N.), Solé ( J.L.) & Vives ( J.). Chaotic Kabanov formula for the Azéma martingales. Bernouilli6, 4, 633-651 (2000). Zbl1023.60046
  18. [RuV] Russo ( F.) & Vallois ( P.). Product of two multiple stochastic integrals with respect to a normal martingale. Stochastic Processes and their Applications73, 47-68 (1998). Zbl0946.60033
  19. [Sch] Schürmann ( M.). The Azéma Martingales as Components of Quantum Independent Increment Processes. Séminaire de probabilités XXV, LNM1485, 24-30, Springer (1991). Zbl0745.60043MR1187766
  20. [Yor] Yor ( M.). Some Aspects of Brownian Motion. Part II: Some Recents Martingales Problems. Lectures in Mathematics, ETH Zürich, Birkhäuser (1997). Zbl0880.60082MR1442263

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