Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces
Abbreviated Journal Title
Adv. Comput. Math.
nonuniform sampling; unitarily translation invariant subspaces; reproducing kernel spaces; sampling on the half-line; Riesz bases; THEOREMS; Mathematics, Applied
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+).
Advances in Computational Mathematics
"Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces" (2003). Faculty Bibliography 2000s. 4087.