@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://archive.numdam.org/item/SPS_1990__24__154_0/} }
TY - JOUR AU - Nualart, David AU - Vives, Josep TI - Anticipative calculus for the Poisson process based on the Fock space JO - Séminaire de probabilités de Strasbourg PY - 1990 SP - 154 EP - 165 VL - 24 PB - Springer - Lecture Notes in Mathematics UR - http://archive.numdam.org/item/SPS_1990__24__154_0/ LA - en ID - SPS_1990__24__154_0 ER -
%0 Journal Article %A Nualart, David %A Vives, Josep %T Anticipative calculus for the Poisson process based on the Fock space %J Séminaire de probabilités de Strasbourg %D 1990 %P 154-165 %V 24 %I Springer - Lecture Notes in Mathematics %U http://archive.numdam.org/item/SPS_1990__24__154_0/ %G en %F SPS_1990__24__154_0
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://archive.numdam.org/item/SPS_1990__24__154_0/
1. Differential Calculus and Integration by parts on Poisson space, preprint. | MR
and ,2. 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
, and ,3. L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel., J. Funct. Anal. 46 (1982), 230-238. | MR | Zbl
, ,4. On extended stochastic integrals, Theory of Probability and its Applications 20, 4 (1975), 710-722. | MR | Zbl
,5. Processus Ponctuels., in "École d'Eté de Saint Flour 6, Lecture Notes in Math. 598, Springer 1977, 1976. | MR | Zbl
,6. Stochastic Calculus with Anticipating Integrands, Probability Theory and Related Fields 78 (1988), 535-581. | MR | Zbl
and ,7. Generalized Stochastic Integrals and the Malliavin Calculus, Probability Theory and Related Fields 73 (1986), 255-280. | MR | Zbl
and ,8. Orthogonal functionals of the Poisson processes, Trans IEEE Inf. Theory, IT-18,4 (1972), 473-481. | MR | Zbl
,9. Sur la positivité de certains opérateurs, in "Séminaire de Probabilités XX, Lecture Notes in Mathematics 1204," pp. 338-340. | Numdam | MR | Zbl
,10. On a generalization of a stochastic integral, Theor.Prob.Appl. 20 (1975), 219-233. | MR | Zbl
,11. 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
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