Functions harmonic in a strip
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- by D. V. Widder PDF
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References
- R. P. Boas Jr., Representations for completely convex functions, Amer. J. Math. 81 (1959), 709–714. MR 108562, DOI 10.2307/2372923 G. H. Hardy, A theorem concerning harmonic functions, J. London Math. Soc. vol. 1 (1926) pp. 130-131. G. Herglotz, Über Potenzreihen mit positivem reelen Teil im Einheitskreis, Berichte der Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physikalische Klasse vol. 63 (1911) pp. 501-511.
- 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
- Frédéric Riesz, Sur certains systèmes singuliers d’équations intégrales, Ann. Sci. École Norm. Sup. (3) 28 (1911), 33–62 (French). MR 1509135
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 67-72
- MSC: Primary 31.10
- DOI: https://doi.org/10.1090/S0002-9939-1961-0132838-8
- MathSciNet review: 0132838