The Riemann-Hilbert problem : a publication from the Steklov Institute of Mathematics
著者
書誌事項
The Riemann-Hilbert problem : a publication from the Steklov Institute of Mathematics
（Aspects of mathematics = Aspekte der Mathematik, E ; v. 22）
Vieweg, c1994
- : pbk
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注記
Includes bibliography (p. 185-188) and index
内容説明・目次
内容説明
The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.
目次
Introduction - Counterexample to Hilbert's 21st problem - Irreducible representations - Miscellaneous topics - The case p 3 - Fuchsian equations.
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