Abstract
The continued partial-wave projection of the Veneziano formula is performed and the complex-$l$-plane singularities are investigated. It is explicitly shown that in the $\ensuremath{\pi}\ensuremath{\pi}$ amplitudes given by the Veneziano-Lovelace model there are an infinite series of Regge poles with parallel trajectories spaced by one unit and an essential singularity as $\mathrm{Re}l\ensuremath{\rightarrow}\ensuremath{-}\ensuremath{\infty}$, For the even-signature amplitude, besides the singularities mentioned above, additive fixed poles are shown to be present at nonsense wrong-signature points. The classification of the Regge-pole family in terms of Lorentz poles and the positivity condition for the Regge-pole residues are also discussed.
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