Abstract
In [13], Walter extended the classical Shannon sampling theorem to some wavelet subspaces. For any closed subspace V0/L2 (R), we present a necessary and sufficient condition under which there is a sampling expansion for everyf ε V0-Several examples are given.
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Communicated by A.J.E.M. Janssen
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Zhou, X., Sun, W. On the sampling theorem for wavelet subspaces. The Journal of Fourier Analysis and Applications 5, 347–354 (1999). https://doi.org/10.1007/BF01259375
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DOI: https://doi.org/10.1007/BF01259375