▎ 摘　　要

A simple model has been applied to the investigation of electron states of epitaxial graphene formed on the surface of dimensionally quantized film. It has been shown that quantum dimensional effects in the substrate influence the electron spectrum of graphene, i.e., Fermi velocity is renormalized and energy forbidden gap is generated in the density of states. The gap and Fermi velocity have been estimated for various values of interaction constant and substrate parameters.