Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617577 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
Abstract
We prove a particular case of the so-called “HRT conjecture”. More precisely, we show that given any planar trapezoid with vertices and given any nontrivial L2(R) function f, there is no linear dependence between the time-frequency translates f(x+tj)e2πiξjx. Our methods are mostly number theoretical.
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