Benedicks-Amrein-Berthier theorem for the Heisenberg motion group and quaternion Heisenberg group

Somnath Ghosh, R. K. Srivastava

Since $({\mathbb{H}}^n⋊U(n),U(n))$ is a Gelfand pair, an exact analogue of the Heisenberg group result due to Narayanan and Ratnakumar is not possible for the Heisenberg motio…