Heisenberg uniqueness pairs for the hyperbola

Deb Kumar Giri, Rama Rawat

Let $\Gamma$ be the hyperbola $\{(x,y)\in {\mathbb{R}}^2:xy=1\}$ and ${\Lambda }_{\beta }$ be the lattice-cross defined by ${\Lambda }_{\beta }=\left(\mathbb{Z}\times \{0\}\right)\cup \left(\{0\}\times \beta \mathbb{Z}\right)$ in…