Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces
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 tim...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203212126 |
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| _version_ | 1832547554547466240 |
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| author | Jun Xian Yongjin Li |
| author_facet | Jun Xian Yongjin Li |
| author_sort | Jun Xian |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1d86ad4fa37a40598f1e9a6c002b0ef6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d86ad4fa37a40598f1e9a6c002b0ef62025-02-03T06:44:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003654131413710.1155/S0161171203212126Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspacesJun Xian0Yongjin Li1Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics, Sun Yat-Sen University, Guangzhou 510275, ChinaWe 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.http://dx.doi.org/10.1155/S0161171203212126 |
| spellingShingle | Jun Xian Yongjin Li Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces International Journal of Mathematics and Mathematical Sciences |
| title | Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces |
| title_full | Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces |
| title_fullStr | Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces |
| title_full_unstemmed | Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces |
| title_short | Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces |
| title_sort | reconstruction in time warped weighted shift invariant spaces with application to spline subspaces |
| url | http://dx.doi.org/10.1155/S0161171203212126 |
| work_keys_str_mv | AT junxian reconstructionintimewarpedweightedshiftinvariantspaceswithapplicationtosplinesubspaces AT yongjinli reconstructionintimewarpedweightedshiftinvariantspaceswithapplicationtosplinesubspaces |