Spectral functions for a semi-infinite liquid

The surface contributions to the total density of states, which determine the temperature dependence of the surface specific heat, are very simply obtained by a direct application of the surface Green function matching analysis to an inviscid liquid. A discrepancy on the low temperature behaviour is resolved while showing the connection with the theory of another surface spectral function of physical interest Calcul des contributions de surface a la densite d'etats totale qui determine la variation thermique de la chaleur massique de surface, par application directe de la methode d'adaptation des fonctions de Green de surface du liquide non visqueux. Interpretation du comportement a basse temperature