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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Harmonic analysis of harmonic functions in the plane


Author: L. A. Rubel
Journal: Proc. Amer. Math. Soc. 54 (1976), 146-148
DOI: https://doi.org/10.1090/S0002-9939-1976-0390216-1
MathSciNet review: 0390216
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Abstract: A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the space of continuous functions in the topology of uniform convergence on compact sets.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0390216-1
Article copyright: © Copyright 1976 American Mathematical Society