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Spectral Models for Orthonormal Wavelets and?Multiresolution Analysis of L 2(?) |
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| Authors: | F G��mez-Cubillo Z Suchanecki |
| Institution: | 1. Dpto de An??lisis Matem??tico, Facultad de Ciencias, Universidad de Valladolid, 47011, Valladolid, Spain 2. Universit?? du Luxembourg, Campus Kirchberg, 6 Rue Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg 3. Institute of Mathematics and Informatics, University of Opole, 45-052, Opole, Poland |
| Abstract: | Spectral representations of the dilation and translation operators on L 2(?) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes. |
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