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Stromberg, K.

Probabilities on a compact group. (English) Zbl 0109.10603

Trans. Am. Math. Soc. 94, 295-309 (1960).
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Keywords:

probability theory
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\textit{K. Stromberg}, Trans. Am. Math. Soc. 94, 295--309 (1960; Zbl 0109.10603)
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References:

[1] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[2] Edwin Hewitt, Remarks on the inversion of Fourier-Stieltjes transforms, Ann. of Math. (2) 57 (1953), 458 – 474. · Zbl 0052.11801
[3] Edwin Hewitt and Herbert S. Zuckerman, Arithmetic and limit theorems for a class of random variables, Duke Math. J. 22 (1955), 595 – 615. · Zbl 0066.11202
[4] Edwin Hewitt and Herbert S. Zuckerman, Finite dimensional convolution algebras, Acta Math. 93 (1955), 67 – 119. · Zbl 0064.26902
[5] Tetujiro Kakehashi, Stationary periodic distributions, J. Osaka Inst. Scí. Tech. Part I. 1 (1949), 21 – 25. · Zbl 0036.35301
[6] Yukiyosi Kawada and Kiyosi Itô, On the probability distribution on a compact group. I, Proc. Phys.-Math. Soc. Japan (3) 22 (1940), 977 – 998. · Zbl 0026.13801
[7] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604
[8] B. M. Kloss, Limiting distributions of sums of independent random variables taking values from a bicompact group, Dokl. Akad. Nauk SSSR (N.S.) 109 (1956), 453 – 455 (Russian). · Zbl 0072.34503
[9] Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Company, Inc., Toronto-New York-London, 1953. · Zbl 0052.11701
[10] Karl Stromberg, A note on the convolution of regular measures, Math. Scand. 7 (1959), 347 – 352. · Zbl 0094.30403
[11] K. Urbanik, On the limiting probability distribution on a compact topological group, Fund. Math. 44 (1957), 253 – 261. · Zbl 0203.49902
[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] André Weil, L’intégration dans les groupes topologiques et ses applications, Actual. Sci. Ind., no. 869, Hermann et Cie., Paris, 1940 (French). [This book has been republished by the author at Princeton, N. J., 1941.]. · Zbl 0063.08195
[14] J. G. Wendel, Haar measure and the semigroup of measures on a compact group, Proc. Amer. Math. Soc. 5 (1954), 923 – 929. · Zbl 0056.26001
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