Decomposition of Riesz frames and waveletsinto a finite union of linearly independent sets.

Ole Christensen, Alexander M Lindner

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We characterize Riesz frames and prove that every Riesz frame is the union of a finite number of Riesz sequences. Furthermore, it is shown that for piecewise continuous wavelets with compact support, the associated regular wavelet systems can be decomposed into a finite number of linearly independent sets. Finally, for finite sets an equivalent condition for decomposition into a given number of linearly independent sets is presented.
    Original languageEnglish
    JournalLinear Algebra and Its Appl.
    Volume355
    Issue number1-3
    Pages (from-to)147-159
    ISSN0024-3795
    Publication statusPublished - 2002

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