Frames of exponentials:lower frame bounds for finite subfamilies, and approximation of the inverse frame operator

Ole Christensen, Alexander M Lindner

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We give lower frame bounds for finite subfamilies of a frame of exponentials {e(i lambdak(.))}k is an element ofZ in L-2(-pi,pi). We also present a method for approximation of the inverse frame operator corresponding to {e(i lambdak(.))}k is an element ofZ, where knowledge of the frame bounds for finite subfamilies is crucial. (C) 2001 Elsevier Science Inc. All rights reserved.
    Original languageEnglish
    JournalLinear Algebra and Its Applications
    Volume323
    Issue number1-3
    Pages (from-to)117-130
    ISSN0024-3795
    DOIs
    Publication statusPublished - 2001

    Keywords

    • frame
    • frame of exponentials
    • approximation of the inverse frame operator
    • lower frame bound

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