Various versions of the Riemann-Hilbert problem for linear differential equations

被引：7
作者：
Gontsov, R. R. [1 ]
Poberezhnyi, V. A. [1 ]
机构：
[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2008年 / 63卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1070/RM2008v063n04ABEH004547
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A counterexample to Hilbert's 21st problem was found by Boli-brukh in 1988 (kind published in 1989). In the further study of this problem lie substantially developed the approach using holomorphic vector bundles and meromorphic connections. Here the best-known results of the past that were obtained by using this approach (both for Hilbert's 21st problem and for certain generalizations) are presented.
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页码：603 / 639
页数：37
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