The Feichtinger Conjecture for Wavelet Frames , Gabor Frames and Frames of Translates

@inproceedings{Bownik2006TheFC,
  title={The Feichtinger Conjecture for Wavelet Frames , Gabor Frames and Frames of Translates},
  author={Marcin Bownik and Darrin Speegle},
  year={2006}
}
The Feichtinger conjecture is considered for three special families of frames. It is shown that if a wavelet frame satisfies a certain weak regularity condition, then it can be written as the finite union of Riesz basic sequences each of which is a wavelet system. Moreover, the above is not true for general wavelet frames. It is also shown that a sup-adjoint Gabor frame can be written as the finite union of Riesz basic sequences. Finally, we show how existing techniques can be applied to… CONTINUE READING