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On iterates of convolutions. (English) Zbl 0299.43004


MSC:

43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
60G50 Sums of independent random variables; random walks
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[1] Antoine Brunel, Pierre Crépel, Yves Guivarc’h, and Michael Keane, Marches aléatoires récurrentes sur les groupes localement compacts, C. R. Acad. Sci. Paris Sér. A-B 275 (1972), A1359 – A1361 (French). · Zbl 0271.60011
[2] William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons, Inc., New York-London-Sydney, 1966. · Zbl 0077.12201
[3] S. R. Foguel and B. Weiss, On convex power series of a conservative Markov operator, Proc. Amer. Math. Soc. 38 (1973), 325 – 330. · Zbl 0268.47014
[4] Donald S. Ornstein, Random walks. I, II, Trans. Amer. Math. Soc. 138 (1969), 1-43; ibid. 138 (1969), 45 – 60. · Zbl 0181.44501
[5] Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley and Sons), New York-London, 1962. · Zbl 0105.09504
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