Dual pairs of gabor frames for trigonometric generators without the partition of unity property

Ole Christensen, Mads Sielemann Jakobsen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Frames is a strong tool to obtain series expansions in Hilbert spaces under less restrictive conditions than imposed by orthonormal bases. In order to apply frame theory it is necessary to construct a pair of so called dual frames. The goal of the article is to provide explicit constructions of dual pairs of frames having Gabor structure. Unlike the results presented in the literature we do not base the constructions on a generator satisfying the partition of unity constraint.
    Translated title of the contributionDUAL PAIRS OF GABOR FRAMES FOR TRIGONOMETRIC GENERATORS WITHOUT THE PARTITION OF UNITY PROPERTY
    Original languageEnglish
    JournalAsian-European Journal of Mathematics
    Volume4
    Issue number4
    Pages (from-to)589–603
    ISSN1793-5571
    DOIs
    Publication statusPublished - 2011

    Keywords

    • Gabor frames
    • dual frame

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