International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 65, Pages 4131-4137
doi:10.1155/S0161171203212126
Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces
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.
Abstract
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.