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

    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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