【摘 要】
:
设δ(S_α)为集中作用在S_α={||×||=α|α>0,x∈R~p}上的δ函数,其定义为: [δ(S_α),φ(x)]=∫_(S_α)φ(x)ds.函数(r-α)~(-m)(m=1,2,…)在R~P中非连续点的集合为S_α。
【机 构】
:
江苏农学院基础部,英国累斯特大学数学系,
论文部分内容阅读
设δ(S_α)为集中作用在S_α={||×||=α|α>0,x∈R~p}上的δ函数,其定义为: [δ(S_α),φ(x)]=∫_(S_α)φ(x)ds.函数(r-α)~(-m)(m=1,2,…)在R~P中非连续点的集合为S_α。我们运用中性极限和收敛于δ(S_α)的δ序列,在S_α上定义了分布积(r-α)~(-m)oδ(S_α).
Let δ (S_α) be a δ function centered on S_α = {|| × || = α | α> 0, x∈R ~ p}, which is defined as: δ (S_α), φ (x) = ∫_ (S_α) φ (x) ds. The function (r-α) ~ (-m) (m = 1,2, ...) is the set of discontinuous points in R ~ P as S_α. We define the distribution product (r-α) ~ (-m) o δ (S_α) on S_α using the neutral limit and the δ sequence converged to δ (S_α).
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