Doctor of Philosophy (PhD)
In this dissertation we study a special kind of wavelets, the so-called minimally supported frequency wavelets and the associated wavelet sets. Most of the examples of wavelet sets are for dilation sets which are groups. In this work we construct wavelet sets for which the dilation set, D, is of the form D=MN, where the product is direct, and so D is not necessarily group. In the second part of this dissertation we construct multiwavelets associated with MRA's and we generalize the rotations in the dilation sets to Coxeter groups.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Dobrescu, Mihaela, "Wavelet sets with and without groups and multiresolution analysis" (2005). LSU Doctoral Dissertations. 3017.