Clifford分析中对偶的k-Hypergenic函数
Chinese Annals of Mathematics,Series A（2014）
Abstract
研究了取值于实Clifford代数空间Cln+1,0(R)中对偶的k-hypergenic函数.首先,给出了对偶的k-hypergenic函数的一些等价条件,其中包括广义的Cauchy-Riemann方程.其次,给出了对偶的hypergenic函数的Cauchy积分公式,并且应用其证明了(1-n)-hypergenic函数的Cauchy积分公式.最后,证明了对偶的hypergenic函数的Cauchy积分公式右端的积分是U\aΩ2中对偶的hypergenic函数.
MoreKey words
Dual k-hypergenic function,Cauchy integral formula,Real Clifford analysis
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