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 | References | Similar Articles | Additional Information
Abstract: Two uniqueness theorems for harmonic functions of exponential growth are proved. The first is a generalization to 
of a theorem proved by Boas [1] for 
.
- [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]
N. V. Rao, Carlson theorem for harmonic functions in
(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