Anomalous spectral regions in source theory

We generate a double spectral representation for a scattering process akin to Compton scattering, with particular emphasis on virtual forward scattering. For particular choices of particle masses and momentum transfers, the spectral region ranges over negative mass-squared values. These results are shown to be consistent with single spectral representations for the same processes. Our results coincide with those of Fronsdal, Norton, and Mahanthappa, but are arrived at in a more direct manner.