5 December 2001 Frames of translates and examples of generalized frame multiresolution analyses
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Abstract
We introduce the concept of frames of translates and we characterize the countable families of vectors generating such frames. In this context we generalize the concept of the Grammian introduced by Ron and Shen. We apply this characterization to study Generalized frame MRAs of L2(R). We also provide the characterization of frame multiwavelet sets associated with GFMRAs of L2(R) and we present examples of GFMRAs.
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Manos Papadakis, "Frames of translates and examples of generalized frame multiresolution analyses", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449696; https://doi.org/10.1117/12.449696
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