Abstract
The more general aspects of the saturation problem for superconvergent dispersion relations are reviewed and discussed. It is found that complete sets of superconvergence conditions for forward amplitudes generally have solutions corresponding to higher collinear symmetries of the vertices. The saturation of mesonic superconvergence relations with infinite sequences of quark-antiquark states is considered in detail for forward and nonforward amplitudes. It is argued that, for sufficiently bounded amplitudes, the saturation of superconvergence conditions at a given value of t (e.g., t = 0 and a few derivatives at this point) with a finite number of resonances can be reasonable, approximate scheme for the calculation of coupling constants and masses.
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