A note on preharmonic functions
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- by A. C. Allen and B. H. Murdoch PDF
- Proc. Amer. Math. Soc. 4 (1953), 842-852 Request permission
References
- H. A. Heilbronn, On discrete harmonic functions, Proc. Cambridge Philos. Soc. 45 (1949), 194–206. MR 30051, DOI 10.1017/s0305004100024713
- 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. MR 7200
- Lynn H. Loomis, The converse of the Fatou theorem for positive harmonic functions, Trans. Amer. Math. Soc. 53 (1943), 239–250. MR 7832, DOI 10.1090/S0002-9947-1943-0007832-1
- A. C. Allen and E. Kerr, The converse of Fatou’s theorem, J. London Math. Soc. 28 (1953), 80–89. MR 51376, DOI 10.1112/jlms/s1-28.1.80 H. B. Phillips and N. Wiener, Journal of Mathematics and Physics vol. 2 (1923) pp. 105-124.
Additional Information
- © Copyright 1953 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 4 (1953), 842-852
- MSC: Primary 31.0X
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060650-2
- MathSciNet review: 0060650