International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 65, Pages 4131-4137

Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces

Jun Xian and Yongjin Li

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received 17 December 2002

Copyright © 2003 Jun Xian and Yongjin Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We discuss the reproducing kernel structure in shift-invariant spaces and the weighted shift-invariant spaces, and obtain the reconstruction formula in time-warped weighted shift-invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time-warped spline subspace.