Title

Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces

Authors

Authors

C. V. M. van der Mee; M. Z. Nashed;S. Seatzu

Abbreviated Journal Title

Adv. Comput. Math.

Keywords

nonuniform sampling; unitarily translation invariant subspaces; reproducing kernel spaces; sampling on the half-line; Riesz bases; THEOREMS; Mathematics, Applied

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+).

Journal Title

Advances in Computational Mathematics

Volume

19

Issue/Number

4

Publication Date

1-1-2003

Document Type

Article

Language

English

First Page

355

Last Page

372

WOS Identifier

WOS:000183561000002

ISSN

1019-7168

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