A class of dual amplitudes with Mandelstam analyticity (DAMA) is studied. A detail analysis of the analytic and asymptotic properties of the amplitudes in the complex s and t plane is carried out. The role of the amplitudes for the construction of an analytic S‐matrix theory is discussed. Applications to physical processes are also presented.

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Topology, which occurs in the topological expansion of quantum chromodynamics (QCD) and in the dual topological unitarization (DTU) schemes, allows us to establish a quantitative correspondence between QCD and the dual S-matrix approaches. This topological correspondence, proposed by Veneziano and made more explicit in a recent paper for current-induced reactions, provides a clarifying and unifying quark-parton interpretation of soft inclusive processes. Precise predictions for inclusive cross sections in hadron-hadron collisions, structure functions of hadrons, and' quark fragmentation functions including absolute normalizations are shown to agree with data. On a more theoretical ground the proposed scheme suggests a new approach to the confinement problem.