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References
Doob, J. L. (1953). Stochastic Processes, Wiley, New York.
Dudley, R. M. (1973). Sample functions of the Gaussian process, Ann. Prob. 1, 66–103.
Fernique, X. (1974). Regularité des trajectoires des fonctions aléatoires Gaussiens, Lecture Notes, Ecole d'ete calcul de probabilites, St. Flour.
Itô, K. and Nisio, M. (1968). On the convergence of sums of independent Banach space valued random variables. Osaka J. Math. 5, 35–48.
Jain, N. C. and Kallianpur, G. (1972). Oscillation function of a multiparameter Gaussian process, Nagoya Math. J. 47, 15–28.
Jain, N. C. and Marcus, M. B. (1978). Continuity of subgaussian processes. Advances in Probability 4, 81–196.
Jain, N. C. and Monrad, D. (1980). Gaussian semimartingales, submitted for publication.
Kallianpur, G. (1970). Zero-one laws for Gaussian processes. Trans. Amer. Math. Soc. 149, 199–211.
Kawada, T. and Kôno, N. (1973). On the variation of Gaussian processes. Proc. Second Japan — USSR sympos. Probab. (Kyoto 1972) Lecture Notes in Math., Vol. 330 Springer, 176–192.
Lévy, P. (1940). Le mouvement Brownian plan, Amer. J. Math. 62, 487–550.
Macak, I. K. (1977). On the β-variation of a random process. Theo. Prob. Math. Stat. 14, 113–122.
Taylor, S. J. (1972). Exact asymptotic estimates of Brownian path variation, Duke Math. J. 39, 219–241.
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© 1981 Springer-Verlag
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Jain, N.C., Monrad, D. (1981). Gaussian measures in certain function spaces. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090619
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DOI: https://doi.org/10.1007/BFb0090619
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