摘要
研究了关于自仿集上电荷分布的势论及有关分析性质。指出电荷分布、势及其Ｆｏｕｒｉｅｒ变换的构造性质；明确给出了三分Ｃａｎｔｏｒ集上二项分布及其矩、Ｆｏｕｒｉｅｒ变换、势的具体表达式；
The potential produced by a charge distribution on the self affine set and its analytic properties are studied. First, the structure properties are deduced of the charge distribution,the electrostatic potential and Fourier transform, then the explicit representatioin for the binornial distribution on the Cantor set, its moments, its Fourier transform and its potential are given with some numerical results.
出处
《计算物理》
CSCD
北大核心
1997年第1期54-62,共9页
Chinese Journal of Computational Physics
基金
铁道部科研基金
关键词
自仿集
势
傅里叶变换
self affine set
potention
moments
fourier transform.
