About: Riemann–Hilbert problem

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In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex plane. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others (see the book by Clancey and Gohberg (1981)).

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rdfs:label	Riemann-Hilbert-Problem (de) Problema de Riemann-Hilbert (es) Riemann–Hilbert problem (en)
rdfs:comment	En matemática, los problemas de Riemann–Hilbert, nombrado en honor a Bernhard Riemann y David Hilbert, son una clase de problemas que se plantean, entre otras cosas, durante el estudio de ecuaciones diferenciales en el plano complejo. Se han producido varios teorema de existencia para los problemas de Riemann–Hilbert por , y otros (ver el libro de Clancey y Gohberg (1981)). (es) In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex plane. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others (see the book by Clancey and Gohberg (1981)). (en) Die Riemann-Hilbert-Probleme (kurz RHP oder auch Riemann-Hilbert-Analysis) sind eine Klasse von mathematischen Problemstellungen, in denen eine komplexwertige Funktion gesucht wird. Die Problemstellung ist folgende: Gegeben sei eine orientierte, glatte Kurve und eine Jump-Funktion , um von einer Seite der Kurve auf die andere Seite zu gelangen. Das Ziel ist es nun, die darunterliegende Funktion zu rekonstruieren, welche analytisch auf ist. (de)
dct:subject	Scattering theory Mathematical problems Harmonic analysis Exactly solvable models Bernhard Riemann Solitons Microlocal analysis Complex analysis Integrable systems Ordinary differential equations Partial differential equations David Hilbert
Wikipage page ID	9710396 (xsd:integer)
Wikipage revision ID	1117729473 (xsd:integer)
Link from a Wikipage to another Wikipage	Scattering theory Meromorphic function Bernhard Riemann David Hilbert Mathematical problems Annals of Mathematics Riemann surface Complex plane Harmonic analysis Mathematics Arno Kuijlaars Exactly solvable models Bernhard Riemann Liouville's theorem (complex analysis) Logarithm Solitons Communications in Mathematical Physics Communications on Pure and Applied Mathematics Microlocal analysis Identity matrix Lax pair American Mathematical Society Partial differential equation Partial differential equations Cauchy problem Differential equation Israel Gohberg Journal of Mathematical Physics Journal of the American Mathematical Society Probability Schwarz reflection principle Hilbert transform Sokhotski–Plemelj theorem Complex analysis Integrable systems Ordinary differential equations Partial differential equations Toda lattice Winding number Mark Krein Method of stationary phase Method of steepest descent Orthogonal polynomials David Hilbert Random matrices Existence theorem Self-adjoint Riemann mapping theorem Riemann–Roch theorem Inverse scattering Painlevé equations Square integrable Cauchy kernel

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