2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164886We 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.Revised version; to appear in Revista Mathematica Iberoamericana, 28 pFunctional Analysistext