In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential...
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Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several...
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generalizations of this. The original setting appearing in Hilbert's twenty-first problem was for the Riemann sphere, where it was about the existence of systems...
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Unsolved problem in mathematics: Do all non-trivial zeroes of the Riemann zeta function have a real part of one half? (more unsolved problems in mathematics)...
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introduced by David Hilbert in this setting, to solve a special case of the Riemann–Hilbert problem for analytic functions. The Hilbert transform of u can...
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English translation of Hilbert's original address Bombieri, Enrico (2006), "The Riemann Hypothesis", The Millennium Prize Problems, Clay Mathematics Institute...
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the inverse scattering problem is equivalent to a Riemann-Hilbert problem. Inverse scattering has been applied to many problems including radiolocation...
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surjective. This problem is more commonly called the Riemann–Hilbert problem. It led to several bijective correspondences known as 'Riemann–Hilbert correspondences'...
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on ordinary differential equations especially Hilbert's twenty-first problem (Riemann–Hilbert problem). Bolibrukh was the author of about a hundred research...
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Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture...
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sphere Riemann–Hilbert correspondence Riemann–Hilbert problem Riemann–Lebesgue lemma Riemann–Liouville integral Riemann–Roch theorem Arithmetic Riemann–Roch...
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who rediscovered it as a main ingredient of his solution of the Riemann–Hilbert problem in 1908. Let C be a smooth closed simple curve in the plane, and...
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In mathematics, the Hilbert–Pólya conjecture states that the non-trivial zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint...
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Navier–Stokes existence and smoothness P versus NP Riemann hypothesis Yang–Mills existence and mass gap The seventh problem, the Poincaré conjecture, was solved by...
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Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge...
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Hotel Hilbert's problems Hilbert's program Hilbert's syzygy theorem Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Riemann–Hilbert correspondence...
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In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional)...
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solutions of ODEs in Floquet theory. Floquet theory Monodromy Riemann–Hilbert problem Grass, Dieter; Caulkins, Jonathan P.; Feichtinger, Gustav; Tragler...
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The DBAR problem is of key importance in the theory of integrable systems, Schrödinger operators and generalizes the Riemann–Hilbert problem. Ablowitz...
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1900, he presented a collection of problems that set a course for mathematical research of the 20th century. Hilbert and his students contributed to establishing...
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equations by previously known monodromy matrices is one of the Hilbert problems. Riemann made some famous contributions to modern analytic number theory...
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asymptotically the solution of the given Riemann–Hilbert problem to that of a simpler, explicitly solvable, Riemann–Hilbert problem. Cauchy's theorem is used to justify...
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S. The inverse problem, of constructing the equation (with regular singularities), given a representation, is a Riemann–Hilbert problem. For a regular...
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asymptotically the solution of the given Riemann–Hilbert problem to that of a simpler, explicitly solvable, Riemann–Hilbert problem. Cauchy's theorem is used to justify...
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physics, we may mention the reinterpretation of renormalization as a Riemann–Hilbert problem, the fact that the Slavnov–Taylor identities of gauge theories...
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field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the...
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Wiener–Hopf method (redirect from Wiener–Hopf problem)
{K^{+}(k){\widehat {g\,}}(k)-G^{+}(k)}{K^{+}(k)F(k,0)}}.} Wiener filter Riemann–Hilbert problem Noble 1958, §4.2. Noble 1958, Chapter 1. "Category:Wiener-Hopf...
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Arakelov theory Grothendieck–Riemann–Roch theorem Hirzebruch–Riemann–Roch theorem Kawasaki's Riemann–Roch formula Hilbert polynomial Moduli of algebraic...
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rank n vector bundle over the Riemann sphere). For generic monodromy data, the answer to Hilbert's twenty-first problem is 'yes'. The first proof was...
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valid. Later, David Hilbert was able to prove that, to a large extent, the Dirichlet principle is valid under the hypothesis that Riemann was working with...
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