A kind of multivariate scale function and wavelet is constructed based on the definition and the nature of convolution. Then Multiresolution Analysis of multivariate scale function is presented.

• 利用卷积的定义及性质，构造出了一类多元尺度函数与小波，得到多元尺度函数与多元小波的构造公式，并给出了这类多元尺度函数的多分辨分析。