Literature cited
Yu. K. Belyaev, “Continuity and Hölder conditions for sample functions of stationary processes,” Proc. Fourth Berkeley Symp. Math. Statist. Probab., Univ. California Press,2, 23–33 (1961).
X. Fernique, “Continuity of Gaussian processes,” C. R. Acad. Sci. Paris,258, 6058–6060 (1964).
M. B. Marcus and L. A. Shepp, “Continuity of Gaussian processes,” Trans. Am. Math. Soc.,151, No. 2, 377–392 (1970).
A. Garsia, E. Rodemich, and H. Rumsey, “A real variable lemma and the continuity of paths of some Gaussian processes,” Indiana Univ. Math. J.,20, No. 6, 565–578 (1970).
R. M. Dudley, “Sample funtions of a Gaussian process,” in: Stochastic Processes [Russian translation], Mir, Moscow (1978), pp. 7–62.
X. Fernique, “Regularity of paths of Gaussian random functions,” in: Stochastic Processes [Russian translation], Mir, Moscow (1978), pp. 63–132.
V. N. Sudakov, Geometrical Problems of the Theory of Infinite-Dimensional Probability Distributions, Proceed. V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR,141, Nauka, Leningrad (1976).
W. I. Peterburg, “Some lines of investigation of the properties of the paths of Gaussian random functions,” in: Stochastic Processes [Russian translation], Mir, Moscow (1978), pp. 258–280.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 2, pp. 262–265, March–April, 1984.
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Matsak, I.K. Fernique's condition and Gaussian processes. Ukr Math J 36, 239–242 (1984). https://doi.org/10.1007/BF01066964
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DOI: https://doi.org/10.1007/BF01066964