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On regular functions for certain Markov processes. (English) Zbl 0143.40502


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[1] David Blackwell, On transient Markov processes with a countable number of states and stationary transition probabilities, Ann. Math. Statist. 26 (1955), 654 – 658. · Zbl 0066.11303 · doi:10.1214/aoms/1177728425
[2] R. V. Chacon, Identification of the limit of operator averages, J. Math. Mech. 11 (1962), 961 – 968. · Zbl 0139.34701
[3] J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. · Zbl 0053.26802
[4] T. E. Harris and Herbert Robbins, Ergodic theory of Markov chains admitting an infinite invariant measure, Proc. Nat. Acad. Sci. U. S. A. 39 (1953), 860 – 864. · Zbl 0051.10503
[5] Gustave Choquet and Jacques Deny, Sur l’équation de convolution \?=\?\ast \?, C. R. Acad. Sci. Paris 250 (1960), 799 – 801 (French). · Zbl 0093.12802
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[7] Frank Spitzer, Principles of random walk, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1964. · Zbl 0979.60002
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