Frames in two dimensions arising from wavelet transforms

L. Rebollo-Neira*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    A mathematical scheme for generating functions spanning the Hilbert space L2(R2, (dτ ds/s2) is advanced. The completeness condition is guaranteed by the fact that the proposed functions constitute a frame for L2(R2, (dτ ds/s2)). Such functions are built up out of the following ingredients: (i) the wavelet transform, and (ii) a frame for L2(R, dt).

    Original languageEnglish
    Pages (from-to)2079-2091
    Number of pages13
    JournalProceedings of the Royal Society of London A
    Issue number2013
    Publication statusPublished - 8 Sept 2001


    • Frame representation
    • Time frequency time-scale representation
    • Two-dimensional frames
    • Wavelet transform
    • Wide-band Doppler imaging
    • Wide-band remote sensing


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