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Caractérisation des groupes localement compacts de type (T) ayant la propriété de point fixe. (French) Zbl 0261.60010

MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60G50 Sums of independent random variables; random walks
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References:

[1] R. Azencott , Espaces de Poisson des groupes localement compacts , Lecture Notes in Math. Springer Verlag , 1970 . MR 501376 | Zbl 0208.15302 · Zbl 0208.15302
[2] N. Bourbaki , Topologie Générale III . · Zbl 0139.15904
[3] H. Furstenberg , Poisson Formula for semi-simple Lie groups . Ann. of Math. , t. 77 , 1963 , p. 335 - 386 . MR 146298 | Zbl 0192.12704 · Zbl 0192.12704
[4] D. Montgomery et L. Zippin , Topological transformation groups , New York , Interscience Publishers , 1955 . MR 73104 | Zbl 0068.01904 · Zbl 0068.01904
[5] N.W. Rickert , Amenable groups and groups with the fixed point property . Transactions Amer. Math. Soc. , t. 127 , 1967 , p. 221 - 232 . MR 222208 | Zbl 0152.40203 · Zbl 0152.40203
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