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Title: Convolution semigroup of measures on compact noncommutative semigroups (English)
Author: Schwarz, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 14
Issue: 1
Year: 1964
Pages: 95-115
Summary lang: Russian
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Category: math
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MSC: 22.05
MSC: 28.99
idZBL: Zbl 0151.18901
idMR: MR0169969
DOI: 10.21136/CMJ.1964.100603
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Date available: 2008-06-09T13:20:36Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100603
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Reference: [1] I. Glicksberg: Convolution semigroups of measures.Pacific. J. Math. 9 (1959), 51-67. Zbl 0088.02903, MR 0108690, 10.2140/pjm.1959.9.51
Reference: [2] P. R. Halmos: Measure theory.New York, Van Nostrand Co., 1950. Zbl 0040.16802, MR 0033869
Reference: [3] E. Hewitt H. S. Zuckerman: Aritmetic and limit theorems for a class of random variables.Duke Math. J. 22 (1955), 595-615. MR 0075478, 10.1215/S0012-7094-55-02266-3
Reference: [4] Б. М.Клосс: О вероятностных распределениях на бикомпактных топологических группах.Теория вероятностей и ее применения 4 (1959) 255-290. Zbl 1047.90504
Reference: [5] R. J. Koch А. D. Wallace: Stability in semigroups.Duke Math. J. 24 (1957), 193-196. MR 0084711, 10.1215/S0012-7094-57-02425-0
Reference: [6] Š. Schwarz: Subsemigroups of simple semigroups.Czechoslovak Math. J. 13 (88) (1963), 226-239. Zbl 0122.02402, MR 0158014
Reference: [7] Š. Schwarz: Probabilities on non-commutative semigroups.Czechoslovak Math. J. 13 (88) (1963), 372-426. Zbl 0137.35302, MR 0160191
Reference: [8] K. Stromberg: Probabilities on a compact group.Trans. Amer. Math. Soc. 94 (1960), 295-309. Zbl 0109.10603, MR 0114874, 10.1090/S0002-9947-1960-0114874-4
Reference: [9] K. Stromberg: A note on the convolution of regular measures.Math. Scand. 7 (1959), 347-352. MR 0114889, 10.7146/math.scand.a-10580
Reference: [10] H. H. Воробьев: Сложение независимых случайных величин на конечных абелевых группах.Матем. сб. 34 (1954), 89-126. Zbl 0995.90535, MR 0061774
Reference: [11] 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, MR 0067904, 10.1090/S0002-9939-1954-0067904-5
Reference: [12] M. Rosenblatt: Limits of convolution sequences of measures on a compact topological semigroup.J. of Math. and Mechanics 9 (1960), 293 - 305. Zbl 0099.34302, MR 0118773
Reference: [13] H. S. Collins: The kernel of a semigroup of measures.Duke Math. J. 25 (1961), 387-392. Zbl 0114.25303, MR 0126256
Reference: [14] H. S. Collins: Convergence of convolution iterates of measures.Duke Math. J. 29 (1962), 259-264. Zbl 0129.09001, MR 0137789, 10.1215/S0012-7094-62-02926-5
Reference: [15] H. S. Collins: Idempotent measures on compact semigroups.Proc. Amer. Math. Soc. 13 (1962), 442-447. Zbl 0105.09601, MR 0136679, 10.1090/S0002-9939-1962-0136679-8
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