应用泛函分析学报
應用汎函分析學報
응용범함분석학보
ACTA ANALYSIS FUNCTIONALIS APPLICATA
2011年
1期
13-18
,共6页
广义函数%乘积%非标准分析
廣義函數%乘積%非標準分析
엄의함수%승적%비표준분석
distribution%product%nonstandard analysis
用非标准分析和广义函数的调和表示,给出广义函数δ(x1,···,x2m)和δ(x1,…,x2m-1)(○)I(x2m)的乘积.
用非標準分析和廣義函數的調和錶示,給齣廣義函數δ(x1,···,x2m)和δ(x1,…,x2m-1)(○)I(x2m)的乘積.
용비표준분석화엄의함수적조화표시,급출엄의함수δ(x1,···,x2m)화δ(x1,…,x2m-1)(○)I(x2m)적승적.
In this paper, we get the product of distributions δ(x1,···, x2m) and δ(x1,···, x2m-1)(○)I(x2m), defined by using nonstandard analysis and harmonic representations of distribution.