摘要
利用向量函数组w1,w2, ...wm-1以及互相独立的实参数组λ1,λ2, ...λm-1证明了Cn空间有界域上光滑函数的积分表示公式，这个公式可以看为全纯域上著名积分公式在光滑函数上的拓广，通过适当选择其中的向量函数组和参数组可以得到Cn空间各种有界域上的积分表示公式。
By using the vector function w1,w2, ...wm-1 and independent real parameter groupλ1,λ2, ...λm-1 , this article proves the integral representation formula of smooth fumctions on bounded domain in Cn .This formula can be regarded as the extension formula of the well-known formulas of holomorpic function in the case of smooth functions. By suitable selecting the vector function group and parameter group, one can obtain the integral representation of smooth function in various domains.
