On the linear independence of spikes and sines

@misc{citeulike:2897648, abstract = {The purpose of this work is to survey what is known about the linear independence of spikes and sines. The paper provides new results for the case where the locations of the spikes and the frequencies of the sines are chosen at random. This problem is equivalent to studying the spectral norm of a random submatrix drawn from the discrete Fourier transform matrix. The proof involves depends on an extrapolation argument of Bourgain and Tzafriri.}, author = {Tropp, Joel A. }, citeulike-article-id = {2897648}, eprint = {0709.0517}, keywords = {analysis, function, math}, month = {Apr}, posted-at = {2008-06-16 07:05:46}, priority = {2}, title = {On the linear independence of spikes and sines}, url = {http://arxiv.org/abs/0709.0517}, year = {2008} }

TY - ELEC ID - citeulike:2897648 L3 - citeulike-article-id:2897648 N2 - The purpose of this work is to survey what is known about the linear independence of spikes and sines. The paper provides new results for the case where the locations of the spikes and the frequencies of the sines are chosen at random. This problem is equivalent to studying the spectral norm of a random submatrix drawn from the discrete Fourier transform matrix. The proof involves depends on an extrapolation argument of Bourgain and Tzafriri. TI - On the linear independence of spikes and sines KW - analysis KW - function KW - math AU - Tropp, Joel PY - 2008/Apr/17/ UR - http://arxiv.org/abs/0709.0517 ER -