文章基本信息

标题：Fourier coefficients and growth of harmonic functions
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作者：A. fryant ; H. Shankar
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1987
卷号：10
DOI：10.1155/S0161171287000528
出版社：Hindawi Publishing Corporation
摘要：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.