Anticipative direct transformations on the Poisson space
Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 4, pp. 557-592.
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     author = {Nicaise, Florent},
     title = {Anticipative direct transformations on the {Poisson} space},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {557--592},
     publisher = {Elsevier},
     volume = {39},
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     doi = {10.1016/S0246-0203(02)00007-9},
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     zbl = {1021.60044},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/S0246-0203(02)00007-9/}
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Nicaise, Florent. Anticipative direct transformations on the Poisson space. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 4, pp. 557-592. doi : 10.1016/S0246-0203(02)00007-9. http://archive.numdam.org/articles/10.1016/S0246-0203(02)00007-9/

[1] R. Buckdahn, Anticipative Girsanov transformation, Probab. Theory Related Fields 89 (1991) 211-238. | MR | Zbl

[2] R. Buckdahn, O. Enchev, Nonlinear transformations on the abstract Wiener space, Tech. Report 240 (Neue Folge), Humboldt Univ., Berlin, 1989.

[3] R.H. Cameron, W.T. Martin, Transformation of Wiener integral under translation, Ann. Math. 45 (1944) 386-396. | MR | Zbl

[4] O. Enchev, D.W. Stroock, Anticipative diffusions and related change of measure, J. Funct. Anal. 116 (1996) 449-477. | MR | Zbl

[5] I. Gyøngy, Mimicking complicated stochastic differential equations by simpler ones, Preprint. | MR | Zbl

[6] J. Jacod, A.N. Shiryaev, Limit Theorems for Stochastic Processes, Springer-Verlag, 1984. | MR | Zbl

[7] F. Nicaise, Anticipative Markovian transformations on the Poisson space, Stochastic Processes and their Applications, to appear. | MR | Zbl

[8] D. Nualart, The Malliavin Calculus and Related Topics, Springer-Verlag, 1995. | MR | Zbl

[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. | EuDML | Numdam | Zbl

[10] J. Picard, Formules de dualité sur l'espace de Poisson, Ann. Inst. Henri Poincaré 32 (4) (1996) 509-548. | EuDML | Numdam | MR | Zbl

[11] J. Picard, Transformations et équations anticipantes pour les processus de Poisson, Ann. Math. Blaise Pascal 3 (1) (1996) 111-123. | EuDML | Numdam | MR | Zbl

[12] A.S. Ustunel, M. Zakai, Transformation of Measure on Wiener Space, Springer-Verlag, 2000. | MR | Zbl

[13] A.S. Ustunel, M. Zakai, Transformation of the Wiener measure under anticipative flows, Probab. Theory Related Fields 93 (1992) 91-136. | MR | Zbl

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