Browsing by Author "Nashed, M.Z."
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Sampling Expansions and Interpolation in Unitarily Translation Invariant Reproducing Kernal Hilbert Spaces(Department of Mathematical Sciences, 2002) van der Mee, C.V.M.; Nashed, M.Z.; Seatzu, S.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 + ).