ANALYTICITY OF THE SCHRODINGER PROPAGATOR ON THE HEISENBERG GROUP

Sanjay Parui

Abstract

We discuss the analytic extension property of the Shrodinger propagator for the Heisenberg sublaplacian and some related operators. The result for the sublaplacian is proved by interpreting the sublaplacian as a direct integral of an one parameter family of dilated special Hermite operators. This is a joint work with P. K. Ratnakumar and S. Thangavelu.