Riemann-Hilbert problem for scalar Fuchsian equations and related problems

被引：2

作者：

V'yugin, I. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2011年 / 66卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Fuchsian equations and systems; Riemann-Hilbert problem; monodromy; bundle; connection;

D O I：

10.1070/RM2011v066n01ABEH004727

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the Riemann-Hilbert problem for scalar Fuchsian equations: the problem of constructing a scalar Fuchsian equation from a representation of the monodromy and a family of singular points. The results of Bolibrukh [5], van der Put and Singer [7], and the author [10], generalized to a unified theorem provided with a new proof, form the main part of the paper. Some possible applications of these results are also discussed.

引用

页码：35 / 62

页数：28

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