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Frames and sampling theorem

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Nankai University, 300071, Tianjin, China

    Wenchang Sun & Xingwei Zhou

Authors
  1. Wenchang Sun
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  2. Xingwei Zhou
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 16971047).

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Sun, W., Zhou, X. Frames and sampling theorem. Sci. China Ser. A-Math. 41, 606–612 (1998). https://doi.org/10.1007/BF02876230

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  • DOI: https://doi.org/10.1007/BF02876230

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