Existence of characters for the discrete series -- Existence of characters in the general case -- Supercusp forms and supercuspidal representations -- The space A(G, ?) -- The behavior of the characters of the supercuspidal representations on the regular set -- The mapping "Ff" (char ?=0) -- The local summability of (char ?=0) -- The local summability of the characters of the supercuspidal representations (char ?=0)