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Sampling expansions and interpolation in unitarily translation invariant . . . (2003)
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by
Cornelis V.M. van der Mee
,
M. Z. Nashed
,
Sebastiano Seatzu
| Citations: | 4 - 2 self |
BibTeX
@MISC{Mee03samplingexpansions,
author = {Cornelis V.M. van der Mee and M. Z. Nashed and Sebastiano Seatzu},
title = {Sampling expansions and interpolation in unitarily translation invariant . . . },
year = {2003}
}
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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 L²(R+).
