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References
S. A. Chobanyan and V. I. Tarieladze, On the compatness of covariance operator (Russian), Soobšč. Acad. Nauk Gruzin. SSR 70(1973), 273–276
S. A. Chobanyan and A. Weron, Banach space valued stationary processes and their linear prediction, Dissertationes Math. 125(1975) 1–50.
X. Fernique, Intégrabilité des vecteurs gaussiens, C.R. Paris 270(1970), 1698–1699.
T. Inglot, A zero-one law for Gaussian measures, 1975, preprint.
T. Inglot and A. Weron, Gaussian random elements in some non-Banach spaces, Bull. Acad. Polon. Sci., 22(1974), 1039–1043.
K. Itô and M. Nisio, On the convergence of sums of independent Banach space valued random variables, Osaka J. Math. 5(1968), 35–48.
R. Jajte, On derivatives of random fields over a Banach space, Bull. Acad. Polon. Sci. 22(1974), 305–311.
H. J. Landau and L. A. Shepp, On the supremum of a Gaussian process, Sankhyà Ser. A 32(1970), 369–378.
M. M. Mohi El-Din and V. I. Tarieladze, On the convergence of independent random elements in a Fréchet space (Russian), Soobšč. Acad. Nauk Gruzin. SSR 76(1974), 33–36.
S. Rolewicz, Metric linear spaces, PWN Warszawa 1972.
A. V. Skorohod, A remark on Gaussian measures in a Banach space (Russian), Teorya Veroyatnostej i Prim. 15(1970), 519–520.
V. I. Tarieladze, A characterization of a class of covariance operators (Russian), Soobšč. Acad. Nauk Gruzin. SSR 72(1973), 529–532.
V. I. Tarieladze and A. Weron, Gaussian random elements in the sequence spaces lp n, O<pn≤1, Bull. Acad. Polon. Sci. 22(1974), 1053–1056.
N. N. Vakhania, Sur les répartitions de probabilities dans les espaces de suites numériques, C. R. Paris 260(1965), 1560–1562.
N. N. Vakhania, The covariance operator of a Gaussian measure in a Banach space (Russian), Soobšč. Acad. Nauk Gruzin. SSR 51(1968), 35–40.
N. N. Vakhania, Probability distributions on linear spaces (Russian), Mecniereba Tbilisi 1971.
A. Weron, Prediction theory in Banach spaces, Lecture Notes in Math. Winter School on Probability, Springer-Verlag 1975, 213–234.
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Weron, A. (1976). On weak second order and Gaussian random elements. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082360
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DOI: https://doi.org/10.1007/BFb0082360
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