Heat kernel transform for nilmanifolds associated to the heisenberg group
- Bangalore: Department of Mathematics, Indian Institute of Science: 2006
- We study the heat kernel transform on a nilmanifold M of the Heisenberg group. We show that the image of L 2 (M) under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.