60 citations · 151 across the 48 of their papers we have counts for
4 papers · 2 filters
On the finite linear independence of lattice Gabor systems
Ciprian Demeter, S. Zubin Gautam
In the restricted setting of product phase space lattices, we give an alternate proof of P. Linnell's theorem on the finite linear independence of lattice Gabor systems in $L^2(\ma…
Proof of the HRT conjecture for (2,2) configurations
Ciprian Demeter, Alexandru Zaharescu
We prove that for any 4 points in a (2-2) configuration, there is no linear dependence between the associated time-frequency translates of any function
Linear independence of time frequency translates for special configurations
Ciprian Demeter
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 Schwar…
Singular Integrals Along N Directions in R^2
Ciprian Demeter
We prove optimal bounds in L^2(R^2) for the maximal oper- ator obtained by taking a singular integral along N arbitrary directions in the plane. We also give a new proof for the op…