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A note on the ergodic theorems. (English) Zbl 0034.21501

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[1] G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. U.S.A. vol. 17 (1931) pp. 356-660. · Zbl 0003.25602
[2] Yael Naim Dowker, Invariant measure and the ergodic theorems, Duke Math. J. 14 (1947), 1051 – 1061. · Zbl 0029.14402
[3] Nelson Dunford and D. S. Miller, On the ergodic theorem, Trans. Amer. Math. Soc. 60 (1946), 538 – 549. · Zbl 0063.01187
[4] J. von Neumann, Proof of the quasi-ergodic hypothesis, Proc. Nat. Acad. Sci. U.S.A. vol. 18 (1932) pp. 70-82. · JFM 58.1271.03
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