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

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)
Full Text: DOI EuDML
[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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