Some general aspects of multiperipheral dynamics

In order to facilitate the interpretation of forthcoming experimental data, it is useful to reanalyse in detail the assumptions, the structure and the mathematical formalism of multiperipheral dynamics. The author summarizes some partial contributions in this direction, contained in some recent papers, adding when necessary a short exposition of previously known results, in order to get, as far as possible, a self-contained treatment. He only considers a particular aspect of multiperipheral physics, which can be summarized as follows: make suitable assumptions on the production amplitudes and derive, by integration over the momenta and sum over the multiplicity, the total cross section and the inclusive distributions. The new contributions which are treated with more detail are essentially a proposed characterization of the multiperipheral amplitudes by means of a factorized upper bound and some improvements in the O(3,1) projection of the multiperipheral integral equation based on the properties of a semigroup. (19 refs).