Strichartz inequalities for the Schr？dinger equation with the full Laplacian on H-type groups

We prove the dispersive estimates and Strichartz inequalities for the solution of the Schr\"{o}dinger equation related to the full Laplacian on H-type groups, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral of the full Laplacian. Let $p$ be the dimension of the center on those groups and we assume that $p>1$. This requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.