Heisenberg uniqueness pairs in the plane. Three parallel lines
Heisenberg uniqueness pairs in the plane. Three parallel lines
A Heisenberg uniqueness pair is a pair $(\Gamma ,\Lambda ),$ where $\Gamma$ is a curve in the plane and $\Lambda$ is a set in the plane, with the following property: any bounded Borel measure $\mu$ in the plane supported on $\Gamma ,$ which is absolutely continuous with respect to arc …