Harmonic analysis of harmonic functions in the plane
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- by L. A. Rubel PDF
- Proc. Amer. Math. Soc. 54 (1976), 146-148 Request permission
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.References
- L. A. Rubel and A. L. Shields, Hyperbolic mean automorphic functions, Invent. Math. 4 (1967), 294–298. MR 226385, DOI 10.1007/BF01425386
- Laurent Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857–929 (French). MR 23948, DOI 10.2307/1969386
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 146-148
- DOI: https://doi.org/10.1090/S0002-9939-1976-0390216-1
- MathSciNet review: 0390216