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

Jun Xian and Yongjin Li

 Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
Received 17 December 2002

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.