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A note on preharmonic functions. (English) Zbl 0052.33202

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[1] H. A. Heilbronn, On discrete harmonic functions, Proc. Cambridge Philos. Soc. 45 (1949), 194 – 206. · Zbl 0033.06303
[2] L. H. Loomis and D. V. Widder, The Poisson integral representation of functions which are positive and harmonic in a half-plane, Duke Math. J. 9 (1942), 643 – 645. · Zbl 0061.23304
[3] Lynn H. Loomis, The converse of the Fatou theorem for positive harmonic functions, Trans. Amer. Math. Soc. 53 (1943), 239 – 250. · Zbl 0061.23305
[4] A. C. Allen and E. Kerr, The converse of Fatou’s theorem, J. London Math. Soc. 28 (1953), 80 – 89. · Zbl 0050.10104
[5] H. B. Phillips and N. Wiener, Journal of Mathematics and Physics vol. 2 (1923) pp. 105-124. · JFM 49.0340.03
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