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References
Gelfand, I.M., Vilenkin, N.Ya.: Generalized Functions: Volume 4 Applications to Harmonic Analysis, New York: Academic Press 1964.
Gnedenko, B.V., Kolmogorov, A.N.: Limit distributions for sums of independent random variables. Reading Mass.: Addison-Wesley 1954.
Gross, L.: Harmonic analysis on Hilbert space. Mem. Amer. Math. Soc., 46 (1963).
Jajte, R.: On stable distributions in Hilbert space. Studia Math., T. 30, 63–71 (1968).
Kumar, A., Mandrekar, V.: Stable probability measures on Banach spaces. (To appear in Studia Math.)
Royden, H.L.: Real Analysis. New York: Macmillan 1963.
Schilder, M.: Some Structure Theorems for the Symmetric Stable Laws. Ann. Math. Statist., 41, 412–421 (1970).
Schoenberg, I.J.: Metric spaces and positive definite functions. Trans. Amer. Math. Soc., 44, 522–536 (1938).
Vakhania, N.N.: Sur une propriété de répartitions nor males of probabilités dans les espaces l p (1≦p<∞) et H. C.r. Acad. Sci. Paris. Séries A or B. 260, 1334–1336 (1965).
Varadhan, S.R.S.: Limit theorems for sums of Independent Random Variables with values in a Hilbert space. Sankhya, Ser. A 24, 213–238 (1962).
Kanter, M.: Linear sample spaces and stable Processes. (To appear in the J. of Functional Analysis.)
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Kuelbs, J. A representation theorem for symmetric stable processes and stable measures on H . Z. Wahrscheinlichkeitstheorie verw Gebiete 26, 259–271 (1973). https://doi.org/10.1007/BF00534891
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DOI: https://doi.org/10.1007/BF00534891