Frames and sampling theorem
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The sampling problem on a closed subspace Vo of L2(ℝ) is studied. For the regular sampling, a necessary and sufficient condition on the sampling theorem is presented and the sampling problem proposed by Walter is completely solved. Moreover, a representation formula for the derived function is given. The irregular sampling is studied. The results improve the ones of Walter and Liu’s.
Keywordsframes sampling wavelets
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- 3.Long, R. L.,Multidimensional Wavelet Analysis (in Chinese), Beijing: Word Publishing Corporation, 1995, 3–27.Google Scholar