@article{SPS_1990__24__166_0, author = {Wu, Liming}, title = {Un traitement unifi\'e de la repr\'esentation des fonctionnelles de Wiener}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {24}, year = {1990}, pages = {166-187}, mrnumber = {1071539}, zbl = {0723.60064}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_1990__24__166_0} }
Wu, Li-Ming. Un traitement unifié de la représentation des fonctionnelles de Wiener. Séminaire de probabilités de Strasbourg, Tome 24 (1990) pp. 166-187. http://gdmltest.u-ga.fr/item/SPS_1990__24__166_0/
[1] Martingales, the Malliavin Calculus and hypoellipticity under general Hörmander's conditions. Z. Wahrsch. Th. 56, 469-505 (1981). | MR 621660 | Zbl 0445.60049
:[2] Clark-Haussmann formulas for the Wiener sheet. Diss. ETH No 8159.
:[3] Stochastic integrals in the plane. Acta Math, 134, 111-183 (1975). | MR 420845 | Zbl 0334.60026
et :[4] The representation of functionals of Brownian motion by stochastic integrals. Ann. Math. Statist. 41, 1282-1295 (1971). | MR 270448 | Zbl 0213.19402
:[5] Calcul stochastique non-adapté sur l'espace de Poisson. Sém. Proba. XXII. Lect. Notes in Math. 1321, Springer Verlag, Berlin (1988). | Numdam | MR 960543
, , :[6] L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel. J. Funct. Anal. 46, 230-238 (1982). | MR 660187 | Zbl 0488.60068
et :[7] Functionals of diffusion processes as stochastic integrals. SIAM J. Control and Opt. 16, 252-269 (1978). | MR 474497 | Zbl 0375.60070
:[8] On stochastic integrals with respect to an infinite number of Brownian motions and its applications. In Proc. Int. Symp. on SDE, Kyoto 1976, ed. Ito, Wiley, New York (1978). | MR 536004 | Zbl 0405.60059
et :[9] Multiple Wiener integrals. J. Math. Soc. Japan 3, 385-392 (1951). | Zbl 0044.12202
:[10] La théorie des distributions en dimension quelconque (ou calcul chaotique) et l'intégration stochastique. Actes Coll. Analyse stochastique, Silivri (1986). | Zbl 0648.60063
:[11] On backward stochastic differential equations. Stochastics, 6, 293-313 (1982). | MR 665405 | Zbl 0533.60073
:[12] Gaussian measures in Banach spaces. Lect. Notes in Math. 463, Springer Verlag, Berlin (1975). | MR 461643 | Zbl 0306.28010
:[13] Calcul des variations, intégrales stochastiques et complexes de de Rham sur l'espace de Wiener. C.R.A.S.Paris 299, série 1, 347-350 (1984). | MR 761263 | Zbl 0568.60058
:[14] Eléments de probabilités quantiques I, II. Sém. Proba. XX, XXI. Lect. Notes in Math. (1986, 1987). | Numdam | MR 942022 | Zbl 0604.60001
:[15] A propos des distributions sur l'espace de Wiener. Sém. Proba. XXI, Lect. Notes in Math. 1247, Springer Verlag, Berlin (1987). | Numdam | MR 941973 | Zbl 0632.60035
et :[16] Noncausal stochastic integrals and calculus. Preprint (1987). | MR 953794
:[17] Generalized stochastic integrals and Malliavin Calculus. Proba. Th. Rel. Fields 73, 255-280 (1986). | MR 855226 | Zbl 0601.60053
et :[18] Generalized multiple stochastic integrals and the representation of Wiener functionals. Preprint. | MR 959117
et :[19] Malliavin Calculus and stochastic integral representation of functionals of diffusion processes. Stochastics 12, 161-185 (1984). | MR 749372 | Zbl 0542.60055
:[20] | MR 676644 | Zbl 0498.60057
: Markov Fields. Springer Verlag, Berlin (1982).[21] On a generalization of a stochastic integral. Theory Probab. Appl. XX, 219-233 (1975). | MR 391258 | Zbl 0333.60060
:[22] Representation of the distributions on Wiener space and stochastic calculus of variations. J. Funct. Anal. 70, 126-139 (1987). | MR 870758 | Zbl 0638.46031
:[23] Martingales and stochastic integrals for processes with a multi-dimensional parameter. Z. Wahrsch. Th. 29, 109-122 (1974). | MR 370758 | Zbl 0282.60030
et :[24] Semigroupes markoviens sur l'espace de Wiener. Thèse de doctorat de l'Univ. Paris 6 (1987).
:[25] Développement des distributions suivant les chaos de Wiener et applications à l'analyse stochastique. Sém. Proba. XXI Lect. Notes in Math. 1247, Springer Verlag, Berlin (1987). | Numdam | MR 941974 | Zbl 0621.60048
:[26] Functional analysis. Springer Verlag, Berlin (1966)
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