Construction of Non-MSF Non-MRA Wavelets forL~2(R) and H~2(R) from MSF Wavelets

摘要

Considering symmetric wavelet sets consisting of four intervals, a class ofnon-MSF non-MRA wavelets for L~2(R) and dilation 2 is obtained. In addition, we obtaina family of non-MSF non-MRA H~2-wavelets which includes the one given by Behera [Bull.Polish Acad. Sci. Math. 52 (2004), 169-178].