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arXiv · 1804.09776

On the Mellin transform of a D-module

Ricardo Garcia Lopez
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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.

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Ricardo Garcia Lopez. 2018-04-25. On the Mellin transform of a D-module. https://arxiv.org/abs/1804.09776

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