Probabilities on a compact group
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- by Karl Stromberg PDF
- Trans. Amer. Math. Soc. 94 (1960), 295-309 Request permission
References
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- Edwin Hewitt, Remarks on the inversion of Fourier-Stieltjes transforms, Ann. of Math. (2) 57 (1953), 458–474. MR 54768, DOI 10.2307/1969730
- Edwin Hewitt and Herbert S. Zuckerman, Arithmetic and limit theorems for a class of random variables, Duke Math. J. 22 (1955), 595–615. MR 75478
- Edwin Hewitt and Herbert S. Zuckerman, Finite dimensional convolution algebras, Acta Math. 93 (1955), 67–119. MR 77522, DOI 10.1007/BF02392520
- Tetujiro Kakehashi, Stationary periodic distributions, J. Osaka Inst. Sci. Tech. Part I 1 (1949), 21–25. MR 32810
- Yukiyosi Kawada and Kiyosi Itô, On the probability distribution on a compact group. I, Proc. Phys.-Math. Soc. Japan (3) 22 (1940), 977–998. MR 3462
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- 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). MR 0083212
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- Karl Stromberg, A note on the convolution of regular measures, Math. Scand. 7 (1959), 347–352. MR 114889, DOI 10.7146/math.scand.a-10580
- K. Urbanik, On the limiting probability distribution on a compact topological group, Fund. Math. 44 (1957), 253–261. MR 92921, DOI 10.4064/fm-44-3-253-261
- 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
- André Weil, L’intégration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 869, Hermann & Cie, Paris, 1940 (French). [This book has been republished by the author at Princeton, N. J., 1941.]. MR 0005741
- J. G. Wendel, Haar measure and the semigroup of measures on a compact group, Proc. Amer. Math. Soc. 5 (1954), 923–929. MR 67904, DOI 10.1090/S0002-9939-1954-0067904-5
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 94 (1960), 295-309
- MSC: Primary 22.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0114874-4
- MathSciNet review: 0114874