Fourier–Laplace transform of irreducible regular differential systems on the Riemann sphere

It is shown that the Fourier–Laplace transform of an irreducible regular differential system on the Riemann sphere underlies a polarizable regular twistor $\mathscr D$-module if one considers only the part at finite distance. The associated holomorphic bundle defined away from the origin of the complex plane is therefore equipped with a natural harmonic metric having a tame behaviour near the origin.