Frame properties of wave packet systes in L^2 (R^d)

Ole Christensen, Asghar Rahimi

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Extending work by Hernandez, Labate and Weiss, we present a sufficent condition for a generalized shift-invariant system to be a Bessel sequence or even a frame forL(2)(R-d). In particular, this leads to a sufficient condition for a wave packet system to form a frame. On the other hand, we show that certain natural conditions on the parameters of such a system exclude the frame property.
    Original languageEnglish
    JournalAdvances in Computational Mathematics
    Volume29
    Issue number2
    Pages (from-to)101-111
    ISSN1019-7168
    DOIs
    Publication statusPublished - 2008

    Keywords

    • wave packet systems

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