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 Sep 2001


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


Dive into the research topics of 'Frames in two dimensions arising from wavelet transforms'. Together they form a unique fingerprint.

Cite this