文章基本信息
- 标题：Fourier coefficients and growth of harmonic functions
- 本地全文：下载
- 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
- 期号：3
- 页码：443-452
- 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.
