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The Riemann-Hilbert Problem (eBook)

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A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev

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Verlag: Vieweg+Teubner Verlag

ISBN: 978-3-322-92909-9

GTIN: 9783322929099

Einband: PDF

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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.

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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.

Autor	Anosov, D. V. / Bolibruch, A. A.
Verlag	Vieweg+Teubner Verlag
Einband	PDF
Erscheinungsjahr	2013
Seitenangabe	193 S.
Ausgabekennzeichen	Englisch
Abbildungen	IX, 193 p. 1 illus.
Auflage	1994
Plattform	PDF
Reihe	Aspects of Mathematics

Über den Autor D. V. Anosov

Prof. Anosov und Prof. Bolibrukh sind beide am Steklov Institut in Moskau tätig.

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