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On the category of indecomposable distributions on topological groups. (English) Zbl 0104.36205


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[1] A. I. Khinchine, Contribution à l’arithmétique des lois de distribution, Bull. Math. Univ. Moscou 1 (1937), 6-17.
[2] Harald Cramér, Problems in probability theory, Ann. Math. Statistics 18 (1947), 165 – 193. · Zbl 0032.03302
[3] Paul Lévy, Sur une classe de lois de probabilité indécomposables, C. R. Acad. Sci. Paris 235 (1952), 489 – 491 (French). · Zbl 0047.12202
[4] Daniel Dugué, Sur certains exemples de décomposition en arithmétique des lois de probabilité, Ann. Inst. H. Poincaré 12 (1951), 159 – 169 (French). · Zbl 0045.07203
[5] Ronald Aylmer Fisher and Daniel Dugué, Un résultat assiz inattendu d’arithmétique des lois de probabilité, C. R. Acad. Sci. Paris 227 (1948), 1205 – 1206 (French). · Zbl 0038.08602
[6] Walter Rudin, Representation of functions by convolutions, J. Math. Mech. 7 (1958), 103 – 115. · Zbl 0079.13302
[7] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[8] Yu. V. Prokhorov, Convergence of random processes and limit theorems in probability theory, Teor. Veroyatnost. i Primenen. 1 (1956), 177 – 238 (Russian, with English summary). · Zbl 0075.29001
[9] V. S. Varadarajan, Weak convergence of measures on separable metric spaces, Sankhyā 19 (1958), 15 – 22. · Zbl 0082.26505
[10] R. Ranga Rao, Some problems in probability theory, thesis submitted to Calcutta University, 1960.
[11] B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Company, Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. · Zbl 0056.36001
[12] N. N. Vorob\(^{\prime}\)ev, Addition of independent random variables on finite abelian groups, Mat. Sbornik N.S. 34(76) (1954), 89 – 126 (Russian).
[13] Roman Sikorski, Boolean algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Heft 25, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. · Zbl 0087.02503
[14] Felix Hausdorff, Set theory, Chelsea Publishing Company, New York, 1957. Translated by John R. Aumann, et al. · Zbl 0081.04601
[15] L. S. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939. · JFM 65.0872.02
[16] André Weil, Sur les espaces à structure uniforme et sur la topologie générale, Hermann, Paris, 1937. · JFM 63.0569.04
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