Frames of Periodic Shift-Invariant Spaces |
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| Authors: | Di-Rong Chen |
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| Affiliation: | Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, P.R. China |
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| Abstract: | This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators. |
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| Keywords: | Bessel sequence frame shift-invariant space |
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