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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reconstruction of functions in spline subspaces from local averages
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by Wenchang Sun and Xingwei Zhou PDF
Proc. Amer. Math. Soc. 131 (2003), 2561-2571 Request permission

Abstract:

In this paper, we study the reconstruction of functions in spline subspaces from local averages. We present an average sampling theorem for shift invariant subspaces generated by cardinal B-splines and give the optimal upper bound for the support length of averaging functions. Our result generalizes an earlier result by Aldroubi and Gröchenig.
References
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Additional Information
  • Wenchang Sun
  • Affiliation: Department of Mathematics, Nankai University, Tianjin 300071, People’s Republic of China
  • ORCID: 0000-0002-5841-9950
  • Email: sunwch@nankai.edu.cn
  • Xingwei Zhou
  • Affiliation: Department of Mathematics, Nankai University, Tianjin 300071, People’s Republic of China
  • Email: xwzhou@nankai.edu.cn
  • Received by editor(s): May 11, 2001
  • Published electronically: March 18, 2003
  • Additional Notes: This work was supported by the Research Fund for the Doctoral Program of Higher Education, the National Natural Science Foundation of China (Grant Nos. 10171050 and 10201014), the Mathematical Tianyuan Foundation(Grant No. TY10126007), and the Liuhui Center for Applied Mathematics
  • Communicated by: David R. Larson
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2561-2571
  • MSC (2000): Primary 94A20; Secondary 42C40, 42C15
  • DOI: https://doi.org/10.1090/S0002-9939-03-07082-5
  • MathSciNet review: 1974656