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OverviewThere exist results on the connection between the theory of wavelets and the theory of integral self-affine tiles and in particular, on the construction of wavelet bases using integral self-affine tiles. However, there are many non-integral self-affine tiles which can also yield wavelet basis. In this work, the author gives a complete characterization of all one and two dimensional A -dilation scaling sets K such that K is a self-affine tile satisfying BK=(K d1)⋃(K d2) for some d1,d2∈R2 , where A is a 2×2 integral expansive matrix with ∣detA∣=2 and B=At Full Product DetailsAuthor: Xiaoye Fu , Jean-Pierre GabardoPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 233/1097 Weight: 0.200kg ISBN: 9781470410919ISBN 10: 1470410915 Pages: 85 Publication Date: 30 January 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Preliminary results A sufficient condition for a self-affine tile to be an MRA scaling set Characterization of the inclusion K⊂BK Self-affine scaling sets in R2: the case 0∈D Self-affine scaling sets in R2: the case D={d1,d2}⊂R2 Conclusion BibliographyReviewsAuthor InformationXiaoye Fu, The Chinese University of Hong Kong, Shatin, Hong Kong. Jean-Pierre Gabardo, McMaster University, Hamilton, ON, Canada. Tab Content 6Author Website:Countries AvailableAll regions |
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