Heisenberg uniqueness pairs corresponding to finite number of parallel lines

Abstract

In this paper we study the Heisenberg uniqueness pairs corresponding to finite number of parallel lines $\Gamma$. We give a necessary condition and a sufficient condition for a subset $\Lambda$ of $\mathbb{R}$ so that $(\Gamma ,\Lambda )$ becomes a HUP.

arXiv commentAccepted in Advances in Mathematics for publication