Science in China Series A: Mathematics

, Volume 41, Issue 6, pp 606–612

Frames and sampling theorem

  • Wenchang Sun
  • Xingwei Zhou

DOI: 10.1007/BF02876230

Cite this article as:
Sun, W. & Zhou, X. Sci. China Ser. A-Math. (1998) 41: 606. doi:10.1007/BF02876230


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.


frames sampling wavelets 

Copyright information

© Science in China Press 1998

Authors and Affiliations

  • Wenchang Sun
    • 1
  • Xingwei Zhou
    • 1
  1. 1.Department of MathematicsNankai UniversityTianjinChina

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