Sampling Expansions and Interpolation in Unitarily Translation Invariant Reproducing Kernal Hilbert Spaces

Date
2002
Authors
van der Mee, C.V.M.
Nashed, M.Z.
Seatzu, S.
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Department of Mathematical Sciences
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 + ).
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