Duclos P., Exner P., Meller B. Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube (806K, Postscript) ABSTRACT. We consider curvature--induced resonances in a planar two--dimensional Dirichlet tube of a width $\,d\,$. It is shown that the distances of the corresponding resonance poles from the real axis are exponentially small as $\,d\to 0+\,$, provided the curvature of the strip axis satisfies certain analyticity and decay requirements.