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On the support of the measures in a symmetric convolution semigroup. (English) Zbl 0309.60009


MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
43A05 Measures on groups and semigroups, etc.
60E05 Probability distributions: general theory
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References:

[1] Bauer, H.: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie, 2. Auflage. Berlin-New York: Walter de Gruyter 1974 · Zbl 0272.60001
[2] Berg, C., Forst, G.: Potential theory on locally compact abelian groups. Berlin-Heidelberg-New York: Springer 1975 · Zbl 0308.31001
[3] Bourbaki, N.: Intégration. Chapitres 1-4 2e édition, Paris: Hermann 1965
[4] Deny, J.: Méthodes hilbertiennes en théorie du potentiel. In: C.I.M.E., 1{\(\deg\)}Ciclo, Potential Theory (Stresa 1969), pp. 121-201. Rome: Edizione Cremonese 1970
[5] Forst, G.: Convolution semigroups of local type. Math. Scandinav.34, 211-218 (1974) · Zbl 0291.43005
[6] Harzallah, K.: Sur une démonstration de la formule de Lévy-Khinchine. Ann. Inst. Fourier,19 (Fasc. 2), 527-532 (1969) · Zbl 0189.44803
[7] Rudin, W.: Fourier analysis on groups. New York: Interscience 1962 · Zbl 0107.09603
[8] Urbanik, K.: Gaussian measures on locally compact abelian topological groups. Studia. math.19, 77-88 (1960) · Zbl 0099.01704
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