Partially supported by a grant of the DGICYT no PB 90-0452. This work was partially done while the author was visiting the “Laboratoire de Probabilités” at Paris VI.
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References
S. Aida, S. Kusuoka and D. Stroock, On the Support of Wiener Functionals, Asymptotic problems in probability Theory: Wiener functionals and asymptotics, Longman Sci. & Tech., Pitman Research Notes in Math. Series 294, N.Y., 3–34, (1993).
G. Ben Arous and M. Gradinaru, Normes Höldériennes et support des diffusions, C.R. Acad. Sc. Paris, t. 316, Série 1 n. 3, 283–286, (1993).
G. Ben Arous, M. Gradinaru and M. Ledoux, Hölder norms and the support theorem for diffusions, preprint.
Z. Ciesielski, On the isomorphisms of the spaces Hα and m, Bull. Acad. Pol. Sc., 8, 217–222 (1960).
I. Gyöngy and T. Pröhle, On the approximation of stochastic differential equations and on Stroock-Varadhan's support theorem, Computers Math. Applic, 19, 65–70 (1990).
N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, Amsterdam, Oxford, New York: North Holland: Tokyo: Kodansha 1981.
V. Mackevičius, On the Support of the Solution of Stochastic Differential Equations, Lietuvos Matematikow Rinkings XXXVI (1), 91–98 (1986).
A. Millet and M. Sanz-Solé, The Support of an Hyperbolic Stochastic Partial Differential Equation, Probability Theory and Related Fields, to appear, Prépublication du Laboratoire de Probabilités de l'Université Paris VI n.° 150, 1993.
D. W. Stroock and S. R. S. Varadhan, On the Support of Diffusion Processes with Applications to the Strong Maximum Principle, Proc. Sixth Berkeley Symp. Math. Statist. Prob. III, 333–359, Univ. California Press, Berkeley, 1972.
D. W. Stroock and S. R. S. Varadhan, On Degenerate Elliptic-Parabolic Operators of Second Order and their Associated Diffusions, Comm. on Pure and Appl. Math. Vol. XXV, 651–713 (1972).
D. W. Stroock and S. R. S. Varadhan, Multidimensional processes, Springer-Verlag, Berlin Heildelberg, New York, 1979. *** DIRECT SUPPORT *** A00I6B40 00002
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Millet, A., Sanz-Solé, M. (1994). A simple proof of the support theorem for diffusion processes. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXVIII. Lecture Notes in Mathematics, vol 1583. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073832
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