{"product_id":"the-riemann-hilbert-problem-von-a-a-bolibruch-und-d-v-anosov","title":"The Riemann-Hilbert Problem","description":"This book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concems the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this tumed out to be a rare case of a wrong forecast made by hirn. In 1989 the second author (A.B.) discovered a counterexample, thus 1 obtaining a negative solution to Hilbert's 21st problem. After we recognized that some \"data\" (singularities and monodromy) can be obtai ned from a Fuchsian system and some others cannot, we are enforced to change our point of view. To make the terminology more precise, we shaII caII the foIIowing problem the Riemann-Hilbert problem for such and such data: does there exist a Fuchsian system having these singularities and monodromy? The contemporary version of the 21 st Hilbert problem is to find conditions implying a positive or negative solution to the Riemann-Hilbert problem.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783322929112\"\u003e\u003ch3\u003eA Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783322929112","offer_id":49592346837317,"sku":"9783322929112","price":90.94,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e7eca4f4-8245-48f4-99b2-6cfb5e836842.jpg?v=1772171964","url":"https:\/\/shop.autorenwelt.de\/en\/products\/the-riemann-hilbert-problem-von-a-a-bolibruch-und-d-v-anosov","provider":"Autorenwelt Shop","version":"1.0","type":"link"}