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Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix |
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| Authors: | Firdous A Shah Abdullah |
| Affiliation: | 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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