The local Laplace transform of an elementary irregular meromorphic connection
Algebraic Geometry
2017-11-06 v2 Classical Analysis and ODEs
Complex Variables
Abstract
We give a definition of the topological local Laplace transformation for a Stokes-filtered local system on the complex affine line and we compute in a topological way the Stokes data of the Laplace transform of a differential system of elementary type.
Keywords
Cite
@article{arxiv.1405.5310,
title = {The local Laplace transform of an elementary irregular meromorphic connection},
author = {Marco Hien and Claude Sabbah},
journal= {arXiv preprint arXiv:1405.5310},
year = {2017}
}
Comments
56 pages, 21 figures. V2: Final version to appear in Rend. Sem. Mat. Univ. Padova