Keywords
- Weak Convergence
- Continuous Linear Operator
- Strong Topology
- Nuclear Space
- Stochastic Evolution Equation
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References
Bojdecki, T. and L.G. Gorostiza (1988). "Inhomogeneous infinite dimensional Langevin equations." Stochastic Anal. and Appl. (to appear).
Hitsuda, M. and I. Mitoma (1986). "Tightness problem and stochastic evolution equation arising from fluctuation phenomena for interacting diffusions. J. Mult. Anal. 19, 311–328.
Itô, K. (1983). "Distribution valued processes arising from independent Brownian motions." Math. Zeitschrift 182, 17–33.
Kallianpur, G. (1986). "Stochastic Differential Equations in Duals of Nuclear Spaces with Some Applications. IMA Preprint Series No. 244. Institute for Mathematics and Its Applications, University of Minnesota.
Kallianpur, G. and V. Pérez-Abreu (1988). "Stochastic evolution equations driven by nuclear space valued martingales." Appl. Math. Optim. 17, 237–272.
Mitoma, I. (1983). "Tightness of probabilities on C([0,1];φ′) and D([0,1];φ′)." Ann. Prob. 11, 4, 989–999.
Mitoma, I. (1985). ‘An ∞-dimensional inhomogeneous Langevin's equation." J. Funct. Anal. 61, 342–359.
Tanaka, H. and M. Hitsuda (1981). "Central limit theorem for a simple diffusion model of interacting particles." Hiroshima Math. J. 11, 415–423.
Whitt, W. (1970). "Weak convergence of probability measures on the function space C[0,∞)." Ann. Math. Statist. 41, 939–944.
Xia, D. X. (1972). Measure and Integration Theory on Infinite-Dimensional Spaces. Academic Press, New York.
Mitoma, I. (1987). "Generalized Ornstein-Uhlenbeck process having a characteristic operator with polynomial coefficients. Prob. Th. Rel. Fields 76, 4, 533–555.
Dawson, D.A. and L.G. Gorostiza (1988). "Generalized solutions of a class of nuclear space valued stochastic evolution equations." Tech. Rep. No. 225, Center for Stochastic Processes. University of North Carolina.
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© 1989 Springer-Verlag
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Kallianpur, G., Pérez-Abreu, V. (1989). Weak convergence of solutions of stochastic evolution equations on nuclear spaces. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications II. Lecture Notes in Mathematics, vol 1390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083940
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DOI: https://doi.org/10.1007/BFb0083940
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