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Stabile Maße auf Badrikianschen Räumen. (Stable measures on Badrikian spaces). (German) Zbl 0307.60012

MSC:
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
46G99 Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
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References:
[1] Badrikian, A.: Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques. Lecture Notes in Mathematics 139. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0209.48402
[2] Bourbaki, N.: Eléments de Mathématique. Livre VI Intégration, chap. IX. Paris: Hermann (1969)
[3] Dettweiler, E.: Grenzwertsätze für Wahrscheinlichkeitsmaße auf Badrikianschen Räumen. Dissertation, Tübingen 1974 (unveröffentlicht) · Zbl 0309.60010
[4] Dettweiler, E.: Grenzwertsätze für Wahrscheinlichkeitsmaße auf Badrikianschen Räumen. Erscheint in: Z. Wahrscheinlichkeitstheorie verw. Gebiete · Zbl 0309.60010
[5] Kuelbs, J., Mandrekar, V.: Domain of attraction of stable measures on a Hilbert space. Studia Math.50, 149-162 (1974) · Zbl 0304.60002
[6] Kumar, A., Mandrekar, V.: Stable probability measures on Banach spaces. Studia math.42, 133-144 (1972) · Zbl 0209.48502
[7] Parthasarathy, K. R.: Probability measures on metric spaces. New York-London: Academic Press 1967 · Zbl 0153.19101
[8] Parthasarathy, K. R., Schmidt, K.: Stable positive definite functions. Trans. Amer. math. Soc.203, 161-174 (1975) · Zbl 0314.43004 · doi:10.1090/S0002-9947-1975-0370681-X
[9] Rvaceva, E. L.: On domains of attraction of multidimensional distributions. Selected translations in math. statistics and probability, II, 193-206 (1962)
[10] Schaefer, H. H.: Topological Vector Spaces. New York-London: Macmillan 1966 · Zbl 0141.30503
[11] Sharpe, M.: Operator stable probability distributions on vector groups. Trans. Amer. math. Soc.136, 51-65 (1969) · Zbl 0192.53603 · doi:10.1090/S0002-9947-1969-0238365-3
[12] Urbanik, K.: Lévy’s probability measures on Euclidean spaces. Studia Math.44, 119-148 (1972) · Zbl 0251.60022
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