Sampling Expansions and Interpolation in Unitarily Translation Invariant Reproducing Kernal Hilbert Spaces
| Author(s) | van der Mee, C.V.M. | |
| Author(s) | Nashed, M.Z. | |
| Author(s) | Seatzu, S. | |
| Date Accessioned | 2005-02-16T20:11:56Z | |
| Date Available | 2005-02-16T20:11:56Z | |
| Publication Date | 2002 | |
| Abstract | Sufficient conditions are established in order that, for a fixed infinite set of sampling points on the full line, a function satisfies a sampling theorem on a suitable closed subspace of a unitarily translation invariant reproducing kernel Hilbert space. A number of examples of such reproducing kernel Hilbert spaces and the corresponding sampling expansions are given. Sampling theorems for functions on the half-line are also established in RKHS using Riesz bases in subspaces of L 2 ( R + ). | en |
| Sponsor | Research supported in part by MURST and INdAMGNCS | en |
| Extent | 248561 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/326 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2002-02 | |
| Title | Sampling Expansions and Interpolation in Unitarily Translation Invariant Reproducing Kernal Hilbert Spaces | en |
| Type | Technical Report | en |