r-particle irreducible kernels, asymptotic completeness and analyticity properties of several particle collision amplitudes

The main points of our program are: i) Studying the equivalence between Asymptotic Completeness and r-particle irreducibility of relevant connected B.S. type kernels. ii) The exploitation of B.S. type equations in Complex momentum space for obtaining extended analyticity properties of Green's functions and multiparticle collision amplitudes. (orig.)