Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I
Classical Analysis and ODEs
2009-09-29 v3 Analysis of PDEs
Abstract
In the present paper we discuss the general facts, concerning the Schlesinger system: the (\tau)-function, the local factorization of solutions of Fuchsian equations and holomorphic deformations. We introduce the terminology "isoprincipal" for the deformations of Fuchsian equations with general (not necessarily non-resonant) matrix coefficients, corresponding to solutions of the Schlesinger system.
Keywords
Cite
@article{arxiv.math/0304108,
title = {Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I},
author = {V. Katsnelson and D. Volok},
journal= {arXiv preprint arXiv:math/0304108},
year = {2009}
}
Comments
extended version