4 papers
Bilinear Fourier restriction theorems
Ciprian Demeter, S. Zubin Gautam
We provide a general scheme for proving estimates for certain bilinear Fourier restrictions outside the locally setting. As an application, we show how such estimates f…
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…
On curvature and the bilinear multiplier problem
S. Zubin Gautam
We provide sufficient normal curvature conditions on the boundary of a domain $D \subset \BBR^4$ to guarantee unboundedness of the bilinear Fourier multiplier operator $\T_D$ with…
A critical-exponent Balian-Low theorem
S. Zubin Gautam
Using a variant of the Sobolev Embedding Theorem, we prove an uncertainty principle related to Gabor systems that generalizes the Balian-Low Theorem. Namely, if …