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Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix
Authors:Firdous A Shah  Abdullah
Institution:1. Department of Mathematics, University of Kashmir, South Campus, Anantnag-192 101, Jammu and Kashmir, India;2. Department of Mathematics, ZHDC, University of Delhi, New Delhi-110002, India
Abstract:In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles.We also prove how to construct various tight frames for L2(Rd) by replac-ing some mother framelets.
Keywords:Wavelet  tight frame  framelet packet  matrix dilation  extension principle  Fourier transform
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