Frames of translates and examples of generalized frame multiresolution analyses

Manos Papadakis

doi:10.1117/12.449696

5 December 2001 Frames of translates and examples of generalized frame multiresolution analyses

Manos Papadakis

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449696
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

Citation Download Citation

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); https://doi.org/10.1117/12.449696

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