EN
We define partial spectral integrals $S_{R}$ on the Heisenberg group by means of localizations to isotropic or anisotropic dilates of suitable star-shaped subsets V containing the joint spectrum of the partial sub-Laplacians and the central derivative. Under the assumption that an L²-function f lies in the logarithmic Sobolev space given by $log(2+L_{α})f ∈ L²$, where $L_{α}$ is a suitable "generalized" sub-Laplacian associated to the dilation structure, we show that $S_{R}f(x)$ converges a.e. to f(x) as R → ∞.