{"id":{"repo_id":"wustl","oai_identifier":"oai:openscholarship.wustl.edu:etd-1715"},"canonical_url":"https://search.dev.ndltd.org/etd/wustl/oai:openscholarship.wustl.edu:etd-1715","repository":{"repo_id":"wustl","name":"Washington University in St. Louis","base_url":"https://openscholarship.wustl.edu/do/oai/"},"display":{"title":"Composite Multi resolution Analysis Wavelets","abstract":"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.","abstract_html":"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. 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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."]},{"key":"dc:title","label":"Title","values":["Composite Multi resolution Analysis Wavelets"]}]}],"canonical_facts":{"dc:contributor":["Guido Weiss"],"dc:creator":["Manning, Benjamin"],"dc:date.available":["2013-02-22T08:00:00Z"],"dc:description.abstract":["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. 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