On the category of indecomposable distributions on topological groups
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- by K. R. Parthasarathy, R. Ranga Rao and S. R. S. Varadhan
- Trans. Amer. Math. Soc. 102 (1962), 200-217
- DOI: https://doi.org/10.1090/S0002-9947-1962-0153041-7
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References
- A. I. Khinchine, Contribution à l’arithmétique des lois de distribution, Bull. Math. Univ. Moscou 1 (1937), 6-17.
- Harald Cramér, Problems in probability theory, Ann. Math. Statistics 18 (1947), 165–193. MR 20741, DOI 10.1214/aoms/1177730437
- Paul Lévy, Sur une classe de lois de probabilité indécomposables, C. R. Acad. Sci. Paris 235 (1952), 489–491 (French). MR 49500
- Daniel Dugué, Sur certains exemples de décomposition en arithmétique des lois de probabilité, Ann. Inst. H. Poincaré 12 (1951), 159–169 (French). MR 46594
- 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). MR 28542
- Walter Rudin, Representation of functions by convolutions, J. Math. Mech. 7 (1958), 103–115. MR 0104981, DOI 10.1512/iumj.1958.7.57009
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- 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). MR 0084896
- V. S. Varadarajan, Weak convergence of measures on separable metric spaces, Sankhyā 19 (1958), 15–22. MR 94838 R. Ranga Rao, Some problems in probability theory, thesis submitted to Calcutta University, 1960.
- B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
- N. N. Vorob′ev, Addition of independent random variables on finite abelian groups, Mat. Sbornik N.S. 34(76) (1954), 89–126 (Russian). MR 0061774
- Roman Sikorski, Boolean algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 25, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. MR 0126393
- Felix Hausdorff, Set theory, Chelsea Publishing Co., New York, 1957. Translated by John R. Aumann, et al. MR 0086020 L. S. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939. André Weil, Sur les espaces à structure uniforme et sur la topologie générale, Hermann, Paris, 1937.
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 102 (1962), 200-217
- MSC: Primary 60.08; Secondary 22.20
- DOI: https://doi.org/10.1090/S0002-9947-1962-0153041-7
- MathSciNet review: 0153041