On the Mellin transform of a D-module
Algebraic Geometry
2021-01-11 v3
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.
Cite
@article{arxiv.1804.09776,
title = {On the Mellin transform of a D-module},
author = {Ricardo Garcia Lopez},
journal= {arXiv preprint arXiv:1804.09776},
year = {2021}
}
Comments
A mistake pointed up by C. Sabbah has been corrected, exposition improved