高维振荡积分的一个渐近展开公式

An Asymptotic Formula for a Type of Singular Oscilltory Integrals of Higher Dimensions

给出二元函数ｆ（ｘ，ｙ）的一个推广的Ｅｕｌｅｒ－Ｍａｃｌａｕｒｉｎ求和公式，并给出二维振荡积分的一个渐近展开公式及其余项公式．

In this paper, gives a generallized Euler-Maclaurin summation formula of two-variable function f(x,y), derives an asymmation formula of two-dimensional oscillatory intergrals dxdy and finally gives their accurate remainder formula.