We provide an analytic expression particularly useful for the evaluation of
the density of states in systems which can be mapped into multichannel int
eracting structures. By means of the Green's function formalism and the rea
l-space renormalization procedure, we arrive at a closed formula and we sho
w how it can be easily implemented for numerical calculations. The applicat
ion to the case of a couple of interacting chains is presented. [S0163-1829
(99)01323-5].