Wavelet sets with and without groups and multiresolution analysis

Identifier

etd-07142005-231924

Author

Mihaela Dobrescu, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

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.

Date

2005

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Dobrescu, Mihaela, "Wavelet sets with and without groups and multiresolution analysis" (2005). LSU Doctoral Dissertations. 3017.
https://repository.lsu.edu/gradschool_dissertations/3017

Committee Chair

Gestur Olafsson

DOI

10.31390/gradschool_dissertations.3017