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References
Billingsley, P.: Convergence of probability measures. New York: Wiley 1969
Byczkowska, H., Byczkowski, T.: A generalization of the zero-one laws for Gaussian measures on metric Abelian groups. Bull. l'Acad. Pol. Sci.29, 187–191 (1981)
Byczkowski, T.: Some results concerning Gaussian measures on metric linear spaces. Lect. Notes Math.656, 1–16 (1978)
Byczkowski, T.: RKHS for Gaussian measures on metric vector spaces. Bull. Polish. Acad. Sci., Mathematics35, 93–103 (1987)
Feller, W.: An introduction to probability theory and its applications 2, 2nd ed. New York: Wiley 1971
Fernique, X.: Integrabilité des vecteurs gaussiens. C.R. Acad. Sci. Paris Ser. A270, A 1698–1699 (1970)
Giné, E.: The Lévy-Lindeberg central limit theorem inL p , 0<p<1. Proc. Am. Math. Soc.88, 147–153 (1983)
Hoffmann-Jørgensen, J.: Probability in Banach spaces. Lect. Notes Math.598, 1–186 (1977)
Inglot, T.: Reproducing kernels of Gaussian measures on Frechet spaces I. Institute of Mathematics, Wroclaw Techn. University Report132 (1977)
Ławniczak, A.: The Lévy-Lindeberg central limit theorem in Orlicz spacesL ø . Proc. Am. Math. Soc.89, 673–679 (1983)
Ławniczak, A.: Gaussian measures on Orlicz spaces and abstract Wiener spaces. J. Multivariate Anal. (To appear)
Parthasarathy, K.R.: Probability measures on metric spaces. New York London: Academic Press 1967
Rolewicz, S.: Metric linear spaces. PWN, Warszawa 1972
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Byczkowski, T., Inglot, T. Gaussian random series on metric vector spaces. Math Z 196, 39–50 (1987). https://doi.org/10.1007/BF01179265
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DOI: https://doi.org/10.1007/BF01179265