Because of the "fish-eye" effect of the lens, it is hard to use stabilization plugins for editing purposes. In After Effects CS6 by Adobe they have a plugin called "Warp Stabilizer" that is pretty good but again it's not perfect.
I wonder why they (and any lens manufacturer for that matter) don't provide a radial distortion correction parameters.
Googling yields some advice on how to correct the distortion, but nobody seems to provide exact settings. I wonder how much a demand is there for a one-click rectification app for any fisheye.