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This leads to a comprehensive theory for fast decomposition algorithms associated with shearlet systems which encompasses tight shearlet frames with spatially compactly supported generators within such an AMRA structure. Also, shearlet-like systems associated with parabolic scaling and unimodular shear matrices are studied within this framework.<\/jats:p>","DOI":"10.1137\/090780912","type":"journal-article","created":{"date-parts":[[2011,9,28]],"date-time":"2011-09-28T00:26:20Z","timestamp":1317169580000},"page":"1921-1946","source":"Crossref","is-referenced-by-count":34,"title":["Adaptive Multiresolution Analysis Structures and Shearlet Systems"],"prefix":"10.1137","volume":"49","author":[{"given":"Bin","family":"Han","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gitta","family":"Kutyniok","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zuowei","family":"Shen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2011,9,27]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2007.10.002"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"J.F. 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