Anticipative calculus for the Poisson process based on the Fock space
Séminaire de probabilités de Strasbourg, Tome 24 (1990), pp. 154-165.
@article{SPS_1990__24__154_0,
     author = {Nualart, David and Vives, Josep},
     title = {Anticipative calculus for the {Poisson} process based on the {Fock} space},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {154--165},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {24},
     year = {1990},
     mrnumber = {1071538},
     zbl = {0701.60048},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1990__24__154_0/}
}
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Nualart, David; Vives, Josep. Anticipative calculus for the Poisson process based on the Fock space. Séminaire de probabilités de Strasbourg, Tome 24 (1990), pp. 154-165. http://www.numdam.org/item/SPS_1990__24__154_0/

1. Eric A. Carlen and E. Pardoux, Differential Calculus and Integration by parts on Poisson space, preprint. | MR

2. A. Dermoune, P. Kree and L. Wu, Calcul stochastique non adapté par rapport a la mesure aléatoire de Poisson, in "Séminaire de Probabilités XXII, Lecture Notes in Mathematics 1321," pp. 477-484. | Numdam | MR | Zbl

3. B. Gaveau, P. Trauber, L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel., J. Funct. Anal. 46 (1982), 230-238. | MR | Zbl

4. Yu.M. Kabanov, On extended stochastic integrals, Theory of Probability and its Applications 20, 4 (1975), 710-722. | MR | Zbl

5. J. Neveu, Processus Ponctuels., in "École d'Eté de Saint Flour 6, Lecture Notes in Math. 598, Springer 1977, 1976. | MR | Zbl

6. D. Nualart and E. Pardoux, Stochastic Calculus with Anticipating Integrands, Probability Theory and Related Fields 78 (1988), 535-581. | MR | Zbl

7. D. Nualart and M. Zakai, Generalized Stochastic Integrals and the Malliavin Calculus, Probability Theory and Related Fields 73 (1986), 255-280. | MR | Zbl

8. H. Ogura, Orthogonal functionals of the Poisson processes, Trans IEEE Inf. Theory, IT-18,4 (1972), 473-481. | MR | Zbl

9. J. Ruiz De Chavez, Sur la positivité de certains opérateurs, in "Séminaire de Probabilités XX, Lecture Notes in Mathematics 1204," pp. 338-340. | Numdam | MR | Zbl

10. Skorohod A.V., On a generalization of a stochastic integral, Theor.Prob.Appl. 20 (1975), 219-233. | MR | Zbl

11. L. Wu, Construction de l'opérateur de Malliavin sur l'espace de Poisson, in "Séminaire de Probabilités XXI, Lectures Notes in Mathematics 1247," pp. 100-113. | Numdam | MR | Zbl