A study on a class of two-direction orthogonal wavelets on compact Lie groups

Abstract

In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold — compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.