Composite Multi resolution Analysis Wavelets
Benjamin Manning · Open Scholarship Institutional Repository (Washington University in St. Louis) · 2012
Composite dilation wavelets are a class of wavelets that include additional dilations from a countable subgroup of the invertible matrices. We consider the case when these additional dilation matrices form a finite group. A theory of MRA wavelets is established in this setting along with a theory of shift invariant subspaces. We examine accuracy of this class of MRA wavelets and produce several examples of compactly support composite MRA wavelets.