Composite Multi resolution Analysis Wavelets

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.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2012

Author dc:creator

• Manning, Benjamin

Contributors dc:contributor

• Guido Weiss

• Mathematics
• composite
• crystallographic
• MRA
• wavelet

Language dc:language

English (en)

DOI

https://doi.org/10.7936/K7GH9G1D

OAI identifier oai:identifier

oai:openscholarship.wustl.edu:etd-1715