Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces

    Authors

    D. G. Han; M. Z. Nashed;Q. Y. Sun

    Comments

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    Abstract

    Given a countable subset of a set , we investigate the construction of all the reproducing kernel Hilbert (resp. Banach) spaces on that have as a sampling (resp. p-sampling) set. Unlike the general p-frames, we prove that every p-sampling set for a reproducing kernel Banach space yields a reconstruction formula. Some applications are given to demonstrate the general construction.

    Journal Title

    Numerical Functional Analysis and Optimization

    Volume

    30

    Issue/Number

    9-10

    Publication Date

    1-1-2009

    Document Type

    Article

    First Page

    971

    Last Page

    987

    WOS Identifier

    WOS:000273106800006

    ISSN

    0163-0563

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