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 Brownian Motion on a Green SpaceJ. L. Doob 3 On the Decomposition of the Convolution of Gaussian and Poissonian LawsYu. V. Linnik 34 On the Linear Extrapolation of a Continuous Homogeneous Random FieldChiang Tse-Pei 60 On a Stochastic Process Concerning Some Waiting Time ProblemsL. Takács 92 Short Communications An Ergodic Theorem for Markov Processes and Its Application to Telephone Systems with RefusalsB. A. Sevast'yanov 106 Some Remarks on Evaluating the Accuracy of Linear Extrapolation and FiltrationA. I. Koronkevič 116 A Remark on Probability Distributions of Class $L$I. A. Ibragimov 121 A Nomogram Connecting the Parameters of a Normal Distribution with Probabilities for Classification Into Three GroupsL. N. Bol'shev 124 On the Distribution of the First Positive Sum for a Sequence of Independent Random VariablesYa. G. Sinai 126 A Summary of Papers Presented at the Sessions of the Scientific Research Seminar on the Theory of Probability (September–December 1956) 135