@article{AIHPB_2003__39_4_557_0,
author = {Nicaise, Florent},
title = {Anticipative direct transformations on the Poisson space},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {39},
year = {2003},
pages = {557-592},
doi = {10.1016/S0246-0203(02)00007-9},
mrnumber = {1983171},
zbl = {1021.60044},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2003__39_4_557_0}
}
Nicaise, Florent. Anticipative direct transformations on the Poisson space. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) pp. 557-592. doi : 10.1016/S0246-0203(02)00007-9. http://gdmltest.u-ga.fr/item/AIHPB_2003__39_4_557_0/
[1] , Anticipative Girsanov transformation, Probab. Theory Related Fields 89 (1991) 211-238. | MR 1110539 | Zbl 0722.60059
[2] R. Buckdahn, O. Enchev, Nonlinear transformations on the abstract Wiener space, Tech. Report 240 (Neue Folge), Humboldt Univ., Berlin, 1989.
[3] , , Transformation of Wiener integral under translation, Ann. Math. 45 (1944) 386-396. | MR 10346 | Zbl 0063.00696
[4] , , Anticipative diffusions and related change of measure, J. Funct. Anal. 116 (1996) 449-477. | MR 1239078 | Zbl 0804.60072
[5] I. Gyøngy, Mimicking complicated stochastic differential equations by simpler ones, Preprint. | MR 956687 | Zbl 0665.60060
[6] , , Limit Theorems for Stochastic Processes, Springer-Verlag, 1984. | MR 959133 | Zbl 0635.60021
[7] F. Nicaise, Anticipative Markovian transformations on the Poisson space, Stochastic Processes and their Applications, to appear. | MR 1854028 | Zbl 1059.60071
[8] , The Malliavin Calculus and Related Topics, Springer-Verlag, 1995. | MR 1344217 | Zbl 0837.60050
[9] D. Nualart, J. Vives, Anticipative calculus for the Poisson process based on the Fock space, in: Séminaire de Probabilité XXIV, Lect. Notes in Math. Vol. | Numdam | Zbl 0701.60048
[10] , Formules de dualité sur l'espace de Poisson, Ann. Inst. Henri Poincaré 32 (4) (1996) 509-548. | Numdam | MR 1411270 | Zbl 0859.60045
[11] , Transformations et équations anticipantes pour les processus de Poisson, Ann. Math. Blaise Pascal 3 (1) (1996) 111-123. | Numdam | MR 1397328 | Zbl 0856.60059
[12] , , Transformation of Measure on Wiener Space, Springer-Verlag, 2000. | MR 1736980 | Zbl 0974.46044 | Zbl 0938.46045
[13] , , Transformation of the Wiener measure under anticipative flows, Probab. Theory Related Fields 93 (1992) 91-136. | MR 1172941 | Zbl 0767.60046