We give characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems. The conditions we propose are stated in terms of equations for the Fourier transforms of the Gabor system's generating functions.
@article{urn:eudml:doc:41507, title = {Characterizations of Gabor Systems via the Fourier transform.}, journal = {Collectanea Mathematica}, volume = {51}, year = {2000}, pages = {205-224}, zbl = {0966.42021}, mrnumber = {MR1776832}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41507} }
Czaja, Wojciech. Characterizations of Gabor Systems via the Fourier transform.. Collectanea Mathematica, Tome 51 (2000) pp. 205-224. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41507/