Geodesic
The Feichtinger Conjecture for Wavelet Frames, Gabor Frames and Frames of Translates
Canadian journal of mathematics, Tome 58 (2006) no. 6, pp. 1121-1143

Voir la notice de l'article provenant de la source Cambridge University Press

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 determine whether frames of translates can be written as the finite union of Riesz basic sequences. We end by giving an example of a frame of translates such that any Riesz basic subsequence must consist of highly irregular translates.
DOI : 10.4153/CJM-2006-041-3
Mots-clés : 42B25, 42B35, 42C40, frame, Riesz basic sequence, wavelet, Gabor system, frame of translates, paving conjecture 
Bownik, Marcin; Speegle, Darrin. The Feichtinger Conjecture for Wavelet Frames, Gabor Frames and Frames of Translates. Canadian journal of mathematics, Tome 58 (2006) no. 6, pp. 1121-1143. doi: 10.4153/CJM-2006-041-3
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