Fourier-Laplace transform and isomonodromic deformations
Classical Analysis and ODEs
2014-01-28 v2 Exactly Solvable and Integrable Systems
Abstract
Using the Fourier-Laplace transform, we describe the isomonodromy equations for meromorphic connections on the Riemann sphere with unramified irregular singularities as those for connections with a (possibly ramified) irregular singularity and a regular singularity. This generalizes some results of Harnad and Woodhouse.
Cite
@article{arxiv.1306.0444,
title = {Fourier-Laplace transform and isomonodromic deformations},
author = {Daisuke Yamakawa},
journal= {arXiv preprint arXiv:1306.0444},
year = {2014}
}
Comments
33 pages, added references, added Corollary 3.17 and Remark 3.18 on the middle convolution