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A bilinear integral equation for the cylinder is derived within the meson sector of the theory of dual topological unitarization. The equation is more general than conventional linear cylinder equations since it includes regions of phase space in which produced particles overlap in rapidity. The equation also permits a simple treatment of phase space which corresponds to that of the planar bootstrap problem. Two classes of solutions are found, only one of which results in the Pomeron-f identity. This treatment also indicates that the residue of the Pomeron may be twice as large as that suggested by earlier calculations but in agreement with a more recent calculation.

Bilinear equation for the cylinder with overlap and the Pomeron residue