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Proceedings of the American Mathematical Society

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Uniqueness theorems for harmonic functions of exponential growth


Author: Doron Zeilberger
Journal: Proc. Amer. Math. Soc. 61 (1976), 335-340
MSC: Primary 31B05
DOI: https://doi.org/10.1090/S0002-9939-1976-0425144-6
MathSciNet review: 0425144
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Abstract: Two uniqueness theorems for harmonic functions of exponential growth are proved. The first is a generalization to $ {R^n}$ of a theorem proved by Boas [1] for $ {R^2}$.


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. MR 49 #610. MR 0335832 (49:610)
  • [2] N. V. Rao, Carlson theorem for harmonic functions in $ {R^n}$ (to appear).

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0425144-6
Keywords: Harmonic functions, Banach spaces of holomorphic functions, Green's formula
Article copyright: © Copyright 1976 American Mathematical Society

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