中文摘要：

选取2对在弱对偶意义下满足微分关系的B-样条作为尺度函数,构造了L2(n)n上具有样条对偶的散度自由单小波,证明了不可压缩流体向量场在弱对偶意义下的投影保持散度自由性质,并给出了具体的例子.

英文摘要：

Divergence-free wavelets with spline duals in L2(Rn)n are constructed by using two pairs of B-splines with some differential relations as the scaling functions,which are in the sense of mild dual condition.Furthermore,it is proved that the projection of an incompressible flow field remains divergence-free property.Finally,a specific example is given.