The Riemann-Hilbert Problem: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev

ISBN-13: 9783322929112 / Angielski / Miękka / 2014 / 193 str.

D. V. Anosov; A. A. Bolibruch

Opis

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.

Spis treści

Introduction - Counterexample to Hilbert's 21st problem - Irreducible representations - Miscellaneous topics - The case p 3 - Fuchsian equations.

O autorze

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