Global duality in heavy flavor decays in the 't Hooft model

We average the decay width of a heavy meson in the 't Hooft model over the heavy quark mass M with a smooth weight function. The averaging has support over a few resonance spacings. We use the previously determined heavy meson decay width which differs from the free quark width by a 1/M correction. In contrast, we find that the averaged meson and quark widths differ by a 1/M-2 correction. We speculate on the relevance of our results to the phenomenologically relevant case of (3 + 1)-dimensional QCD.