We present some results of MacArthur and Taylor, who have produced Haar-type wavelets for the action of wallpaper symmetry groups on . Following work on composite dilations by Guo, Labate, Lim, Weiss and Wilson, we also give a method for constructing wavelet set wavelets for the action of these groups. Simple examples of both types will be given.
Wavelets for Crystallographic Groups Sponsored by the Meyer Fund