A superconductor in contact with a normal metal not only induces superconducting correlations, known as the proximity effect, but also modifies the density of stares at some distance from the interface. These modifications can be resolved experimentally in microstructured systems. We therefore study the local density of states N(E,x) of a superconductor-normal-metal heterostructure. We find a suppression of N(E,x) at small energies, which persists to large distances. If the normal metal forms a thin layer of thickness L(n), a minigap in the density of states appears which is of the order of the Thouless energy similar to HBARD/L(n)(2). A magnetic field suppresses the features. We find good agreement with recent experiments of Gueron et al.