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References
Billingsley P. (1968) Convergence of Probability Measures. Wiley, New York.
Byczkowski T. (1979) Norm convergent expansion for Lφ-valued Gaussian random elements. Studia Math. 64, 87–95.
Byczkowski T. (1987) RKHS for Gaussian measures on metric spaces. Bull. Acad. Pol. Sci. Math. 35, 93–103.
Byczkowski T., Żak T. (1980) On the integrability of Gaussian random vectors. Lect. Notes in Math. 828, 21–29.
Dudley R.M. (1973) Sample functions of the Gaussian process. Ann. Probab. 1, 66–103.
Jain N.C., Kallianpur G. (1970) Norm convergent expansions for Gaussian processes in Banach spaces. Proc. Amer. Math. Soc. 25, 890–895.
Jurlewicz T. (1984) Wiener process with values in an Orlicz space. Ph.D. thesis, Wrocław Technical Univ. Prep. No 16 (in Polish).
Kuelbs J. (1971) Expansions of vectors in a Banach space related to Gaussian measures. Proc. Amer. Math. Soc. 27, 364–370.
Kuelbs J., LePage R.D. (1973) The law of the iterated logarithm for Brownian motion in a Banach space. Trans. Amer. Math. Soc. 185, 253–264.
LePage R.D. (1972) Note relating Bochner integrals and reproducing kernels to series expansions on a Gaussian Banach space. Proc. Amer. Math. Soc. 32, 285–288.
Morrow G.J. (1981) Approximation of rectangular sums of B-valued random variables. Z. Wahr. verw. Geb. 57, 265–291.
Park W.J. (1970) A multi-parameter Gaussian process. Ann. Math. Stat. 41, 1582–1595.
Rolewicz S. (1984) Metric Linear Spaces. PWN Warsaw, D. Reidel, Dordrecht.
Singer I. (1970) Bases in Banach Spaces I. Springer-Verlag, Berlin.
Tortrat A. (1965) Lois de probabilité sur un espace topologique complètement régulier et produits infinis â termes indépendants dans un group topologique. Ann. Inst. H. Poincaré 1, 217–237.
Vahania N.N., Tarieladze V.I., Chobanian S.A. (1985) Probability Distributions in Banach Spaces. Nauka, Moscow (in Russian).
Zapała A.M. (1987) Brownian sheets with values in a Banach space. Prep. No 79, Wrocław University Press.
Zapała A.M. (1987) On exponential integrability of a transferable pseudometric with respect to a Gaussian measure on a group. Bull. Acad. Pol. Sci. Math. 35, 597–600.
Zapała A.M. (1988) Continuity of Gaussian processes in groups (to appear).
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Zapała, A.M. (1989). Brownian sheets in a locally pseudoconvex metric linear space. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083409
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DOI: https://doi.org/10.1007/BFb0083409
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