Ergodic and mixing properties of measures on locally compact abelian groups
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- by Thomas Ramsey and Yitzhak Weit PDF
- Proc. Amer. Math. Soc. 92 (1984), 519-520 Request permission
Abstract:
We provide new proofs of the theorems of Choquet and Deny and of Foguel concerning iterates of convolutions of a measure on a locally compact abelian group.References
- Gustave Choquet and Jacques Deny, Sur l’équation de convolution $\mu =\mu \ast \sigma$, C. R. Acad. Sci. Paris 250 (1960), 799–801 (French). MR 119041
- Shaul R. Foguel, On iterates of convolutions, Proc. Amer. Math. Soc. 47 (1975), 368–370. MR 374816, DOI 10.1090/S0002-9939-1975-0374816-X
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496
- 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
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 519-520
- MSC: Primary 43A25; Secondary 60J15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760937-1
- MathSciNet review: 760937