Science in China Series A: Mathematics

, Volume 41, Issue 6, pp 606–612

Frames and sampling theorem

  • Wenchang Sun
  • Xingwei Zhou
Article

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.

Keywords

frames sampling wavelets 

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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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