Keywords
- Separable Hilbert Space
- Wiener Space
- Malliavin Calculus
- Closed Graph Theorem
- Stokes Formula
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References
T.Hida:Stationary Processes. Princeton Univ.Press, 1970.
P. Krée: "La théorie des distributions en dimension quelconque et l’intégration stochastique". In Stochastic Analysis and Related Topics,Silivri 1986. Lect. Notes in Math., Vol.1316,p.131–170.Springer,1988.
I.Kubo and Y.Yokoi: "A remark on the space of testing random variables in the white noise calculus". Preprint.
H.H. Kuo:"Brownian motion, diffusions and infinite dimensional calculus". In Stochastic Analysis and Related Topics, Silivri 1986. Lect.Notes in Math., Vol.1316,p.81–130.Springer,1988.
P.Malliavin: "Stochastic calculus of variations and hypoelliptic operators". Proc.Inter.Symp.SDE, Kyoto, p.195–263(1976).
P.A. Meyer: "transformation de Riesz pour les lois gaussiennes". Sém.de Proba. XVIII, p.179–193. Lect.Notes in Math. Vol.1059. Springer,1983.
P.A. Meyer and J.A. Yan: "A propos des distributions sur l’espace de Wiener". Sém.de proba.XXI.p.8–26. Lect. Notes in Math. Vol.1247. Springer, 1987.
P.A.Meyer and J.A.Yan: "Distributions sur l’espace de Wiener(suite) d’après I.Kubo et Y.Yokoi". Preprint, to appear in Sém. de Probabilités.
D.Nualart and A.S.Ustunel: "Mesures cylindriques et distributions sur l’espace de Wiener". To appear in the Proceedings of SPDE of Trento, Lect.Notes in Math. Springer.
D. Nualart and M. Zakai: "Generalized multiple stochastic integrals and the representation of Wiener functionals". Stochastics, Vol. 23, p.311–330 (1988).
D.Nualart,A.S.Ustunel and M.Zakai: "Some relations among classes of sigma fields on Wiener space". Preprint.
B.Simon: The P(φ)2 Euclidean (Quantum) Field Theory. Princeton University Press,1974.
A.S. Ustunel: "Construction du calcul stochastique sur un espace de Wiener abstrait". C.R.Acad.Sci.Paris, t.305,Sér.I, p.279–282 (1987).
A.S. Ustunel: "Representation of the distributions on Wiener space and Stochastic Calculus of Variations". Jour.ofFunc.Analysis. Vol.70,p.126–139(1987).
A.S. Ustunel: "The Ito formula for anticipative processes with nonmonotonous time via the Malliavin Calculus". Proba.Th. and Rel.Fields, vol.79, p.249–269(1988).
A.S.Ustunel and M.Zakai:"On the structure of independence on Wiener space".Preprint,to appear in Jour.of Funct. Analysis.
S.Watanabe: Stochastic Differential Equations and Malliavin Calculus. Tata Inst.of Fund. Research.Bombay,1984.
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Korezlioglu, H., Ustunel, A.S. (1990). A new class of distributions on Wiener spaces. In: Korezlioglu, H., Ustunel, A.S. (eds) Stochastic Analysis and Related Topics II. Lecture Notes in Mathematics, vol 1444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083611
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DOI: https://doi.org/10.1007/BFb0083611
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