Fourier coefficients and growth of harmonic functions

A. Fryant and H. Shankar

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-10

Abstract:

We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in case H is not entire. Further, we obtain, in terms of its Fourier coefficients, the Order and Type growth measures, both in case H is entire or non-entire.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:614969

DOI: 10.1155/S0161171287000528

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