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References
D.R. ADAMS.-Maximal operators and capacity. Proc. Amer. Math. Soc., 34 (1972), 152–156.
A. BEURLING AND J. DENY.-Dirichlet spaces. Proc. Nat. Acad. Sci. U.S.A., 45 (1959), 208–215.
L. CARLESON.-Selected problems on exceptional sets. Van Nostrand, Princeton, 1967.
J. DENY.-Théorie de la capacité dans les espaces fonctionnels. Séminaire Brelot-Choquet-Deny, Paris, 1964–65.
M. FUKUSHIMA.-Dirichlet forms and Markov processes. North Holland and Kodansha, 1980.
M. FUKUSHIMA.-Capacitary maximal inequalities and an ergodic theorem. Proceedings of the 4-th Japan-USSR Symp. on Probability Theory, Lecture Notes in Math., 1021, Springer, 1983.
M. FUKUSHIMA.-Basic properties of Brownian motion and a capacity on the Wiener space, J. Math. Soc. Japan 36 (1984), to appear.
M. FUKUSHIMA AND H. KANEKO.-On (r,p)-capacities for general Markovian semigroups, in "Stochastic processes and infinite dimensional analysis". Ed. S. Albeverio, Pitman, 1984.
S. KAKUTANI.-On Brownian motion in n-space. Proc. Acad. Japan 20 (1944), 648–652.
T. KOMATSU AND K. TAKASHIMA.-Haussdorff dimension of quasi-all Brownian paths, to appear.
N. KONO.-Propriétés quasi-partout de fonctions aléatoires Gaussiennes. Séminaire d'Analyse des Fonctions Aléatoires. Université Strasbourg, 1983.
N. KONO.-4-dimensional Brownian motion is recurrent with positive capacity. Proc. Japan Acad., to appear.
P. MALLIAVIN.-Implicit functions in finite corank on the Wiener space. Proc. Taniguchi Intern. Symp. on Stochastic Analysis, Katata and Kyoto, Ed. K. Ito, Kinokuniya, 1983.
H.P. McKEAN.-Stochastic integrals. Academic Press, 1969.
P.A. MEYER.-Note sur les processus d'Ornstein-Uhlenbeck. Séminaire de Probabilités XVI 1980/81, Lecture Notes in Math., 920, Springer, 1982.
S. OREY AND W. PRUITT.-Sample functions of the N-parameter Wiener process. Ann. Prob. 1 (1973), 138–163.
I. SHIGEKAWA.-On the existence of the local time of the 1-dimensional Brownian motion in quasi-everywhere, to appear.
M. TAKEDA.-(r,p)-capacity on the Wiener space and properties of Brownian motion, to appear.
A. ZYGMUND.-Trigonometric series. Cambridge, 1959.
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Fukushima, M. (1984). A dirichlet form on the wiener space and properties on Brownian motion. In: Mokobodzki, G., Pinchon, D. (eds) Théorie du Potentiel. Lecture Notes in Mathematics, vol 1096. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100116
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DOI: https://doi.org/10.1007/BFb0100116
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