Biró András: Uncertainty in finite planes

We establish a number of uncertainty inequalities for the additive group of a
finite affine plane, showing that for $p$ prime, a nonzero function
$f\colon\F_p^2\to\C$ and its Fourier transform $\hf\colon\wh{\F_p^2}\to\C$
cannot have small supports simultaneously. Joint work with V.F. Lev.