Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines

Ole Christensen, Wenchang Sun

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We consider systems of functions appearing by letting a class of modulations act on a countable collection of functions. These systems correspond to shift-invariant systems, considered on the Fourier side. We provide sufficient conditions for the system to be a frame, as well as an explicit construction of a class of frames and associated duals. We use the result to construct frames based on B-splines with knot sequences satisfying a natural condition, as well as explicitly given duals.
    Original languageEnglish
    JournalJournal of Approximation Theory
    Volume151
    Issue number2
    Pages (from-to)155-163
    ISSN0021-9045
    DOIs
    Publication statusPublished - 2008

    Keywords

    • frames
    • (irregular) Splines
    • explicitly given dual frame pairs

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