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Fourier coefficients and growth of harmonic functions

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  • A. fryant
  • H. Shankar

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.

Suggested Citation

  • A. fryant & H. Shankar, 1987. "Fourier coefficients and growth of harmonic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:614969
    DOI: 10.1155/S0161171287000528
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