Contents Online
Mathematical Research Letters
Volume 17 (2010)
Number 4
Linear independence of time frequency translates for special configurations
Pages: 761 – 779
DOI: https://dx.doi.org/10.4310/MRL.2010.v17.n4.a14
Author
Abstract
We prove that for any 4 points in the plane that belong to 2 parallel lines, there is no linear dependence between the associated time-frequency translates of any nontrivial Schwartz function. If mild Diophantine properties are satisfied, we also prove linear independence in the category of $L^2(\R)$ functions
Published 1 January 2010