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Grenzwertsätze für Wahrscheinlichkeitsmaße auf Badrikianschen Räumen. (German) Zbl 0309.60010


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 Math. 139. (1970), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0209.48402
[2] Bourbaki, N.: Eléments de Mathématique. Livre VI Intégration, chapitre IX (1969) · Zbl 0189.14201
[3] Dettweiler, E.: GrenzwertsÄtze für Wahrscheinlichkeitsma\e auf Badrikianschen RÄumen. Dissertation Tübingen 1974 (unveröffentlicht) · Zbl 0309.60010
[4] Fernique, X., Processus linéaires, processus généralisés, Ann. Inst. Fourier, t., XVII, 1-92 (1967) · Zbl 0167.16702
[5] Fernique, X., Lois indéfiniment divisibles sur l’espace des distributions, Invent, math., 3, 282-292 (1967) · Zbl 0173.16104
[6] Fernique, X., Séries de variables aléatoires indépendentes, Publ. Inst. Statist. Univ. Paris, 16, 35-46 (1967) · Zbl 0171.15601
[7] Parthasarathy, K. R., Probability measures on metric spaces (1967), New York-London: Academic Press, New York-London · Zbl 0153.19101
[8] Tortrat, A., Structure des lois indéfiniment divisibles dans un espace vectoriel topologique, Lecture Notes Math. 31. (1967), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0153.19301
[9] Tortrat, A., Sur la structure des lois indéfiniment divisibles dans les espaces vectoriels, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 11, 311-326 (1969) · Zbl 0167.46203
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