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We give a complete proof of the existence of scattering amplitudesA(s,t,u) with the following propertiesi)the amplitudes are total symmetric ins,t, andu.ii)they satisfy elastic unitarity for 4?s?16, andiii)they develop resonances forl?2 on a bounded Regge trajectory which dominates the asymptotics for large energies.

On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles