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. MR 49 #610. MR 0335832 (49:610)
- [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
