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References
T. Hida: Canonical representations of Gaussian processes and their applications, Mem. Coll. Sci. Univ. Kyoto, Ser. A, 33 (1960), 109–155.
Z. J. Jurek: Limit distributions and one-parameter groups of linear operators on Banach spaces, J. Multivar. Anal. (to appear).
Z. J. Jurek: An integral representation of operator-selfdecomposable random variables, Bull. Acad. Pol. Sci. (to appear).
Z. J. Jurek: The classes Lm(Q) of probability measures on Banach spaces, Bull. Acad. Pol. Sci. (to appear).
Z. J. Jurek and W. Vervaat: An integral representation for selfdecomposable Banach space valued random variables, Z. Wahrsch. Verw. Gebiete (to appear).
E. Lukacs: Stochastic convergence, Second edition, Academic Press, New York (1975).
K. Sato: A note on infinitely divisible distributions and their Lévy measures, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 12 (1973), 101–109.
K. Sato: Class L of multivariate distributions and its subclasses, J. Multivar. Anal. 10 (1980), 207–232.
K. Sato and M. Yamazato: Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type, (to appear).
K. Urbanik: Lévy's probability measures on Euclidean spaces, Studia Math. 44 (1972), 119–148.
K. Urbanik: Slowly varying sequences of random variables, Bull. Acad. Pol. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 679–682.
S. J. Wolfe: On a continuous analogue of the stochastic difference equation Xn = Xn−1 + Bn, Stoch. Proc. Appl. 12 (1982), 301–312.
S. J. Wolfe: A characterization of certain stochastic integrals, Stoch. Proc. Appl. 12 (1982), 136.
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© 1983 Springer-Verlag Berlin Heidelberg
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Sato, Ki., Yamazato, M. (1983). Stationary processes of ornstein-uhlenbeck type. In: Prokhorov, J.V., Itô, K. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072949
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DOI: https://doi.org/10.1007/BFb0072949
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