On the Mellin transform of a D-module
arXiv:1804.09776
Abstract
Given a holonomic D-module M on a 1-dimensional torus, one can consider its Mellin transform, which is a difference system on the affine line. In this note we prove a formal stationary phase formula, which shows that the formal behavior at infinity of the Mellin transform of M is determined by the local germs defined by M at its singular points.
A mistake pointed up by C. Sabbah has been corrected, exposition improved