| Type of Document |
Dissertation |
| Author |
Dobrescu, Mihaela
|
| Author's Email Address |
dobrescu@math.lsu.edu |
| URN |
etd-07142005-231924 |
| Title |
Wavelet Sets with and without Groups and Multiresolution Analysis |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Gestur Olafsson |
Committee Chair |
| Frank Neubrander |
Committee Member |
| Jimmie Lawson |
Committee Member |
| Raymond Fabec |
Committee Member |
| Robert Perlis |
Committee Member |
| John Wefel |
Dean's Representative |
|
| Keywords |
- tilings
- multiresolution analysis
- wavelet sets
- coxeter groups
- spectral pairs
|
| Date of Defense |
2005-07-05 |
| Availability |
unrestricted |
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.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Dobrescu_dis.pdf |
341.14 Kb |
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00:00:48 |
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