Approximation orders of shift-invariant subspaces of Ws2(Rd)

  title={Approximation orders of shift-invariant subspaces of Ws2(Rd)},
  author={Olga Holtz and Amos Ron},
  journal={Journal of Approximation Theory},
We extend the existing theory of approximation orders provided by shift-invariant subspaces of L2 to the setting of Sobolev spaces, provide treatment of L2 cases that have not been covered before, and apply our results to determine approximation order of solutions to a refinement equation with a higher-dimensional solution space. © 2004 Elsevier Inc. All rights reserved. MSC:41A25; 41A63; 41A30; 41A15; 42B99; 46E30 

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