TThe local density of states (DOS) on and around Fe single atoms and Fe chains deposited on the n−InAs(110) surface is studied by scanning tunneling spectroscopy at T≃6K. The single atom shows two characteristic states in the filled as well as in the empty DOS which are attributed to an In-related and an Fe-related state. For chains longer than two atoms oriented along the [1¯10] direction, the In-related state results in a uniform state, while the Fe-related state splits up into an end state and inner states. The end state has a lower energy in the filled as well as in the empty DOS. Chains oriented along the [001] direction show an electronic structure which varies continuously along their axis, suggesting a position-dependent hybridization of each atom to the substrate.