Ergodic properties of an operator obtained from a continuous representation

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1. [1] G. Choquet and J. Deny, Sur l'équation de convolution μ = μ * σ. C. R. Acad. Sci. Paris, t. 250, 1960, p. 799-801. Zbl0093.12802MR119041
2. [2] Y. Derriennic, Lois « zéro on deux » pour les processus de Markov. Applications aux marches aléatoires. Ann. Inst. H. Poincaré B, XII, 1976, p. 111-130. Zbl0353.60075MR423532
3. [3] N. Dunford and J. Schwartz, Linear operators. Part I. Interscience, New York, 1958. Zbl0084.10402MR117523
4. [4] M. Falkowitz, On finite invariant measures for Markov operators. Proc. Amer. Math. Soc., t. 38, 1973, p. 553-557. Zbl0276.47005MR312318
5. [5] S.R. Foguel, Convergence of the iterates of an operator. Israel J. Math., t. 16, 1973, p. 159-161. Zbl0272.47023MR341178
6. [6] S.R. Foguel, Convergence of the iterates of convolutions. To appear. MR374816
7. [7] S.R. Foguel, Iterates of a convolution on a non-Abelian group. Ann. Inst. H. Poincaré B, XI, 1975, p. 199-202. Zbl0312.60004MR400332
8. [8] S.R. Foguel and B. Weiss, On convex power series of a conservative Markov operator. Proc. Amer. Math. Soc., t. 38, 1973, p. 325-330. Zbl0268.47014MR313476
9. [9] M. Lin, Mixing for Markov operators. Z. Wahrscheinlichkeitstheorie, t. 29, 1971, p. 231-242. Zbl0212.49301MR309207
10. [10] M. Lin, On the uniform ergodic theorem II. Proc. Amer. Math. Soc., t. 46, 1974, p. 217-225. Zbl0291.47006MR417822
11. [11] A. Mukherjea, Limit theorems for probability measures on non-compact groups and semi-groups. Z. Wahrscheinlichkeitstheorie, t. 33, 1976, p. 273-284. Zbl0304.60004MR400334
12. [12] R. Sine, A note on the ergodic properties of homeomorphisms. Proc. Amer. Math. Soc., t. 57, 1976, p. 169-172. Zbl0333.54027MR402706
13. [13] A. Mukherjea and N. Tserpes, Probability measures on locally compact groups and semi-groups. Springer lecture notes in Mathematics, Berlin-Heidelberg, 1976. Zbl0342.43001MR467871

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