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Proceedings of the American Mathematical Society

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A representation formula for harmonic functions


Authors: Chin Hung Ching and Charles K. Chui
Journal: Proc. Amer. Math. Soc. 39 (1973), 349-352
MSC: Primary 31A05
DOI: https://doi.org/10.1090/S0002-9939-1973-0313523-4
MathSciNet review: 0313523
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a formula to reconstruct certain entire harmonic functions from their values on some lattice points.


References [Enhancements On Off] (What's this?)

  • [1] R. P. Boas Jr., A uniqueness theorem for harmonic functions, J. Approximation Theory 5 (1972), 425–427. Collection of articles dedicated to J. L. Walsh on his 75th birthday, IV (Proc. Internat. Conf. Approximation Theory, Related Topics and their Applications, Univ. Maryland, College Park, Md., 1970). MR 0335832
  • [2] Ralph Philip Boas Jr., Entire functions, Academic Press Inc., New York, 1954. MR 0068627

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0313523-4
Keywords: Harmonic functions, entire functions of exponential type, Paley-Wiener theorem, Plancherel theorem, representation formula
Article copyright: © Copyright 1973 American Mathematical Society