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Araujo, A., Giné, E.: The central limit theorem for real and Banach valued random variables. New York: John Wiley 1980
Baker, C.R.: Zero-one laws for Gaussian measures on Banach spaces. Trans. Amer. Math. Soc.186, 291–308 (1973)
Berg, Ch.: Potential theory on the infinite dimensional torus. Invent. Math.32, 49–100 (1976)
Byczkowski, T.: Gaussian measures on metric Abelian groups. In: Probability measures on groups. Proc. Oberwolfach Lect. Notes Math.706, pp. 41–53. Berlin-Heidelberg-New York: Springer 1978
Dettweiler, E.: Grenzwertsätze für Wahrscheinlichkeitsmaße auf Badrikianschen Räumen. Z. Wahrscheinlichkeitstheorie verw. Geb.34, 285–311 (1976)
Dettweiler, E.: Stabile Maße auf Badrikianschen Räumen. Math. Z.146, 149–166 (1976)
Dudley, R.M., Kanter, M.: Zero-one laws for stable measures. Proc. Amer. Math. Soc.45, 245–252 (1974)
Fernique, X.M.: Une démonstration simple du théorème de R.M. Dudley et M. Kanter sur les lois 0–1 pour les measures stables. Séminaire de Prob. VIII. Lect. Notes Math.381, pp. 78–79. Berlin-Heidelberg-New York: Springer 1974
Graham, C.C, McGeheee, O.C.: Essays in commutative harmonic analysis. Grundlehr, der math. Wiss. 236. Berlin-Heidelberg-New York: Springer 1979
Hazod, W.: Stetige Faltungshalbgruppen und erzeugende Distributionen. Lecture Notes in Math.595. Berlin-Heidelberg-New York: Springer 1977
Hewitt, E., Ross, K.A.: Abstract harmonic analysis I. Grundlehr. der math. Wiss.115. Berlin-Göttingen-Heidelberg: Springer 1963
Heyer, H.: Probability measures on locally compact groups. Ergebnisse d. Math. u. ihrer Grenzgebiete. Berlin-Heidelberg-New York: Springer 1977
Hille, E., Phillips, R.S.: Functional analysis and semigroups. Amer. Math. Soc. Colloquium Publications, Vol. 31. Revised edition. Providence, R.I. Amer. Math. Soc. 1957
Jain, N.C.: A Zero-one law for Gaussian processes. Proc. Amer. Math. Soc.29, 585–587 (1971)
Janssen, A.: Zulässige Translationen von Faltungshalbgruppen. Dissertation, Dortmund 1979
Janssen, A.: Charakterisierung stetiger Faltungshalbgruppen durch das Lévy-Maß. Math. Ann.246, 233–240 (1980)
Janssen, A.: A general purity law for convolution semigroups with discrete Lévy measure. Semigroup Forum20, 55–71 (1980)
Janssen, A.: A zero-one law for the set of admissible translates with respect to product measures. Rendiconti di Mathematica (2), Vol. 1, Ser. VII, 265–280 (1981)
Kisyński, J.: On M. Kac's probabilistic formula for the solution on the telegraphist's equation. Ann. Polon. Math.29, 259–272 (1974)
Krakowiak, W.: Zero-one laws for stable and semi-stable measures on Banach spaces. Bull. d. l'acad. Polon., ser. sci. math.,27, 1045–1049 (1978)
Mackey, G.M.: Borel structure in groups and their duals. Trans. Amer. Math. Soc.85, 134–165 (1957)
Méla, J.F.: Topologies sur G et sous — algebres de Bochner deM(G). Séminaire d'analyse harmonique des mesures (Villetaneuse). (To appear)
Schaefer, H.H.: Banach lattices and positive operators. Die Grundlehr, d. math. Wiss.215. Berlin-Heidelberg-New York: Springer 1974
Siebert, E.: Diffuse und discrete convolution semigroups of probability measures on topological groups. Rendiconti di Mathematica Roma (2), Vol. 1, Ser. VII, 219–236 (1981)
Siebert, E.: Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group. Arch. Math.36, 423–433 (1981)
Siebert, E.: Absolutely continuous and singular Gauss semigroups on a Lie group. (Reprint) (1980)
Siebert, E.: Einbettung unendlich teilbarer Wahrscheinlichkeitsmaße auf topologischen Gruppen. Z. Wahrscheinlichkeitstheorie verw. Geb.28, 227–247 (1974)
Tortrat, A.: Structure de lois indefiniment divisible dans un espace vectoriel topologique. Symposium on probability methods in analysis. Lect. Notes Math.31. Berlin-Heidelberg-New York: Springer 1967
Tortrat, A.: Loise(λ) dans les espaces vectoriels st lois stables. Z. Wahrscheinlichkeitstheorie verw. Geb.37, 175–182 (1976)
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Janssen, A. Zero-one laws for infinitely divisible probability measures on groups. Z. Wahrscheinlichkeitstheorie verw Gebiete 60, 119–138 (1982). https://doi.org/10.1007/BF01957099
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DOI: https://doi.org/10.1007/BF01957099