Relevant bibliographies by topics / Riemann-Hilbert Probleme

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Academic literature on the topic 'Riemann-Hilbert Probleme'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Riemann-Hilbert Probleme"

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Kotlyarov, V. P., and E. A. Moskovchenko. "Matrix Riemann-Hilbert Problems and Maxwell-Bloch Equations without Spectral Broadening." Zurnal matematiceskoj fiziki, analiza, geometrii 10, no. 3 (2014): 328–49. http://dx.doi.org/10.15407/mag10.03.328.

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Durmagambetov, Asset. "Reduction of modern problems of mathematics to the classical Riemann-Poincare-Hilbert problem." European Journal of Pure and Applied Mathematics 11, no. 4 (2018): 1143–76. http://dx.doi.org/10.29020/nybg.ejpam.v11i4.3328.

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Using the example of a complicated problem such as the Cauchy problem for the Navier--Stokes equation, we show how the Poincar\'e--Riemann--Hilbert boundary-value problem enables us to construct effective estimates of solutions for this case. The apparatus of the three-dimensional inverse problem of quantum scattering theory is developed for this. It is shown that the unitary scattering operator can be studied as a solution of the Poincar\'e--Riemann--Hilbert boundary-value problem. This allows us to go on to study the potential in the Schr\"odinger equation, which we consider as a velocity co
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Fatykhov, A. Kh, and P. L. Shabalin. "Solvability homogeneous Riemann-Hilbert boundary value problem with several points of turbulence." Issues of Analysis 25 (September 2018): 31–39. http://dx.doi.org/10.15393/j3.art.2018.5530.

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Bolibrukh, A. A. "The Riemann-Hilbert problem." Russian Mathematical Surveys 45, no. 2 (1990): 1–58. http://dx.doi.org/10.1070/rm1990v045n02abeh002350.

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Kucerovsky, Dan, and Aydin Sarraf. "Solving Riemann-Hilbert problems with meromorphic functions." Acta Universitatis Sapientiae, Mathematica 11, no. 1 (2019): 117–30. http://dx.doi.org/10.2478/ausm-2019-0010.

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Abstract In this paper, we introduce the use of a powerful tool from theoretical complex analysis, the Blaschke product, for the solution of Riemann-Hilbert problems. Classically, Riemann-Hilbert problems are considered for analytic functions. We give a factorization theorem for meromorphic functions over simply connected nonempty proper open subsets of the complex plane and use this theorem to solve Riemann-Hilbert problems where the given data consists of a meromorphic function.
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Bertrand, Florian, and Giuseppe Della Sala. "Riemann-Hilbert problems with constraints." Proceedings of the American Mathematical Society 147, no. 5 (2019): 2123–31. http://dx.doi.org/10.1090/proc/14390.

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Kuijlaars, Arno. "The Tacnode Riemann–Hilbert Problem." Constructive Approximation 39, no. 1 (2013): 197–222. http://dx.doi.org/10.1007/s00365-013-9225-z.

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Filipkovska, M. S., V. P. Kotlyarov, E. A. Melamedova, and E. A. Moskovchenko. "Maxwell-Bloch Equations without Spectral Broadening: Gauge Equivalence, Transformation Operators and Matrix Riemann-Hilbert Problems." Zurnal matematiceskoj fiziki, analiza, geometrii 13, no. 2 (2017): 119–53. http://dx.doi.org/10.15407/mag13.02.119.

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Cerne, Miran. "Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces." American Journal of Mathematics 126, no. 1 (2004): 65–87. http://dx.doi.org/10.1353/ajm.2004.0002.

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Kamvissis, Spyridon. "A riemann-hilbert problem in a riemann surface." Acta Mathematica Scientia 31, no. 6 (2011): 2233–46. http://dx.doi.org/10.1016/s0252-9602(11)60396-2.

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Dissertations / Theses on the topic "Riemann-Hilbert Probleme"

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VANDAMME, JULIETTE. "Probleme de riemann-hilbert pour une representation de monodromie triangulaire superieure." Nice, 1998. http://www.theses.fr/1998NICE5165.

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On etudie le probleme de riemann-hilbert (prh) pour une representation de monodromie triangulaire superieure de dimension 5 et 6. Le prh peut etre formule comme suit : existe-t-il un systeme fuchsien ayant des points singuliers et une representation de monodromie donnes ?. Dans le cas d'une representation de monodromie triangulaire superieure il est connu que la reponse au prh est positive en dimension 2, 3, 4 et qu'elle est negative en dimension 7. On montre que la reponse au prh depend des structures de jordan des matrices de monodromie et de leurs valeurs propres ; de plus on peut remplacer
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Martin, Frank. "Analytische und numerische Verfahren zur Berechnung der Hilbert-Transformation und zur Lösung funktionentheoretischer Randwertaufgaben." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2011. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-65398.

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In der Arbeit werden effektive Verfahren zur Auswertung der Hilbert-Transformation entwickelt und zur Lösung nichtlinearer Randwertaufgaben der Funktionentheorie eingesetzt. Die Verwendung polynomialer Spline-Wavelets und geeignet modifizierter Wavelet-Algorithmen ermöglichen die schnelle Berechnung auf gleichmäßigen und ungleichmäßigen Gittern sowie deren automatische Anpassung an lokale Besonderheiten der Lösung. Die detaillierte Untersuchung des Zusammenhangs zwischen der Glattheit, der Größe des Trägers des Splines, der Anzahl verschwindender Momente und des asymptotischen Verhaltens der H
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Semmler, Gunter. "Nonlinear Riemann-Hilbert Problems." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola&quot, 2009. http://nbn-resolving.de/urn:nbn:de:swb:105-7341443.

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Riemann-Hilbert-Probleme sind Randwertaufgaben für im Einheitskreis $\mathbb D$ holomorphe Funktionen $w$, deren Randwerte $w(t)$ auf gewissen Kurven $M_t$ liegen sollen. Ein Teil der Untersuchungen ist dem Fall explizit gegebener Kurven gewidmet. Dabei werden bekannte Resultate über glatte Kurven auf stetige Restriktionskurven erweitert, und die Existenz von Lösungen in gewissen Hardy-Räumen gezeigt. Die Eindeutigkeitsfrage führt auf ein Gegenbeispiel, das zugleich eine Vermutung aus einer Dissertation von Belch widerlegt. Der andere Teil der Untersuchungen ist dem klassischen Fall geschlosse
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Félix, Heron Martins [UNESP]. "Problemas de Riemann-Hilbert." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/94262.

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Made available in DSpace on 2014-06-11T19:26:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-02-27Bitstream added on 2014-06-13T18:55:33Z : No. of bitstreams: 1 felix_hm_me_sjrp.pdf: 466258 bytes, checksum: 32a3a8d16827478e36816f3317716601 (MD5)<br>O estudo da obtenção de fórmulas assintóticas para polinômios ortogonais clássicos foi amplamente desenvolvido por Szegö. Recentemente, a necessidade de obtenção de assintóticas para polinômios, ortogonais com respeito a funções peso variadas, foi renovada devido a novos estudos na teoria de matrizes randômicas. Nestes estudos, uma das p
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Félix, Heron Martins. "Problemas de Riemann-Hilbert :." São José do Rio Preto : [s.n.], 2009. http://hdl.handle.net/11449/94262.

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Orientador: Alagacone Sri Ranga<br>Banca: Walter dos Santos Motta Junior<br>Banca: Eliana Xavier Linhares de Andrade<br>Resumo: O estudo da obtenção de fórmulas assintóticas para polinômios ortogonais clássicos foi amplamente desenvolvido por Szegö. Recentemente, a necessidade de obtenção de assintóticas para polinômios, ortogonais com respeito a funções peso variadas, foi renovada devido a novos estudos na teoria de matrizes randômicas. Nestes estudos, uma das principais ferramentas utilizadas é a teoria dos problemas de Riemann-Hilbert, caracterizada pelo método de máxima descida de autoria
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TINTAYA, PERCY ALEXANDER CACERES. "RIEMANN HILBERT PROBLEMS IN RANDOM MATRIX THEORY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26432@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Estudamos as noções básicas da Teoria das Matrizes Aleatórias e em particular discutimos o Emsemble Unitário Gaussiano. A continuação descrevemos o gaz de Dyson em equilíbrio e fora do equilíbrio que permite interpretar a informação estatística dos autovalores das matrizes aleatórias. Além desso mostramos descrições alternativas dessa informação estatística. Em seguida discutimos aspectos diferentes dos polinômios ortogonais. Uma dessas caracterizações é dada pelos problemas d
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Belch, Rudiger. "Extremal interpolation and nonlinear Riemann-Hilbert problems." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624100.

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Silva, Guilherme Lima Ferreira da [UNESP]. "Universalidade em matrizes aleatórias via problemas de Riemann-Hilbert." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/86512.

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Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2012Bitstream added on 2014-06-13T20:09:07Z : No. of bitstreams: 1 silva_glf_me_sjrp.pdf: 4891307 bytes, checksum: d50ac695507aa5097767c494c073e3f8 (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>Neste trabalho estudaremos a relação existente entre polinômios ortogonais e matrizes aleatórias. Exibiremos uma caracterização de polinômios ortogonais via problemas de Riemann-Hilbert, a qual tem se mostrado uma ferramenta única para obtenção de assintóticas de polinômios ort
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Fernández, Sánchez Percy. "El problema de Riemann Hilbert : sobre superficies de Riemann no compactas." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96150.

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En el ICM (Intemational Congress of Mathematicians) de 1900, Hilbert presenta 23 problemas que establecieron el curso de gran parte de las investigaciones matemáticas del siglo XX. El 21° problema es la existencia de ecuaciones diferenciales lineales, con un grupo de monodromía y singularidades prescritas. Este artículo trata este problema sobre superficies de Riemann no compactas.
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Silva, Guilherme Lima Ferreira da. "Universalidade em matrizes aleatórias via problemas de Riemann-Hilbert /." São José do Rio Preto : [s.n.], 2012. http://hdl.handle.net/11449/86512.

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Orientador: Dimitar Kolev Dimitrov<br>Banca: Carlos Tomei<br>Banca: José  Alberto Cuminato<br>Resumo: Neste trabalho estudaremos a relação existente entre polinômios ortogonais e matrizes aleatórias. Exibiremos uma caracterização de polinômios ortogonais via problemas de Riemann-Hilbert, a qual tem se mostrado uma ferramenta única para obtenção de assintóticas de polinômios ortogonais. Posteriormente, estudaremos a teoria básica dos ensembles unitários de matrizes aleatórias. Por fim, mostraremos como a teoria de assintóticas de polinômios ortogonais pode ser usada na análise assintótica de es
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Books on the topic "Riemann-Hilbert Probleme"

1

Anosov, D. V. The Riemann-Hilbert problem. Vieweg, 1994.

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Anosov, D. V., and A. A. Bolibruch. The Riemann-Hilbert Problem. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-92909-9.

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The Riemann boundary problem on Riemann surfaces. D. Reidel Pub. Co., 1988.

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McLaughlin, Kenneth D. T. R., and Xin Zhou, eds. Recent Developments in Integrable Systems and Riemann-Hilbert Problems. American Mathematical Society, 2003. http://dx.doi.org/10.1090/conm/326.

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Emerton, Matthew James. The Riemann-Hilbert correspondence for unit F-crystals. Société Mathématique de France, 2004.

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Bolibrukh, A. A. 21-i͡a︡ problema Gilberta dli͡a︡ lineĭnykh fuksovykh sistem. "Nauka", 1994.

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Govorov, N. V. Riemann's boundary problem with infinite index. Birkhäuser Verlag, 1994.

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V, Ostrovskiĭ I., ed. Kraevai͡a︡ zadacha Rimana s beskonechnym indeksom. "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1986.

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Chang, Tʻung. Two-dimensional Riemann problems for systems of conservation laws. Longman Scientific & Technical, 1995.

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Wegner, Wolfgang. Vollständige Riemannlösung der ein- und zweidimensionalen Euler-Gleichungen. Deutsche Forschungsanstalt für Luft- und Raumfahrt, 1992.

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Book chapters on the topic "Riemann-Hilbert Probleme"

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Wendland, Wolfgang L., and Olaf Steinbach. "Riemann-Hilbert-Probleme." In Analysis. Vieweg+Teubner Verlag, 2005. http://dx.doi.org/10.1007/978-3-322-82962-7_22.

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Gürlebeck, Klaus, Klaus Habetha, and Wolfgang Sprößig. "Riemann-Hilbert problems." In Application of Holomorphic Functions in Two and Higher Dimensions. Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-0348-0964-1_9.

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Mitschi, Claude. "The Riemann-Hilbert problem." In Divergent Series, Summability and Resurgence I. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28736-2_4.

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Yoshida, Masaaki. "The Riemann and Riemann-Hilbert Problems." In Fuchsian Differential Equations. Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-663-14115-0_3.

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Yoshida, Masaaki. "The Riemann and Riemann-Hilbert Problems II." In Fuchsian Differential Equations. Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-663-14115-0_9.

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Komech, Alexander, and Anatoli Merzon. "The Riemann-Hilbert Problem on the Riemann Surface." In Lecture Notes in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26699-8_16.

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Bernstein, Swanhild. "Riemann-Hilbert Problems in Clifford Analysis." In Clifford Analysis and Its Applications. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0862-4_1.

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Efendiev, Messoud A., and Wolfgang L. Wendland. "Orientable and nonorientable Riemann-Hilbert problems." In Problems and Methods in Mathematical Physics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8276-7_7.

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Doktorov, Evgeny V., and Sergey B. Leble. "Dressing via nonlocal Riemann–Hilbert problem." In A Dressing Method in Mathematical Physics. Springer Netherlands, 2007. http://dx.doi.org/10.1007/1-4020-6140-4_9.

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Assche, Walter, Jeffrey S. Geronimo, and Arno B. J. Kuijlaars. "Riemann-Hilbert Problems for Multiple Orthogonal Polynomials." In Special Functions 2000: Current Perspective and Future Directions. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0818-1_2.

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Conference papers on the topic "Riemann-Hilbert Probleme"

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Khimshiashvili, G. "Loop spaces and Riemann-Hilbert problems." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-19.

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Wegert, Elias. "Nonlinear Riemann-Hilbert problems – history and perspectives." In Third CMFT Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812833044_0042.

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Novokshenov, V. Yu, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmaier, and Theodore Voronov. "The Riemann-Hilbert problem and special functions." In GEOMETRIC METHODS IN PHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.3043854.

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Mokry, M. "Flow past airfoils as a Riemann-Hilbert problem." In Theroretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-2161.

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Giorgadze, G. K. "Solvability condition of the Riemann-Hilbert monodromy problem." In Proceedings of the 7th International ISAAC Congress. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814313179_0012.

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MORENO, ANA FOULQUIÉ. "RIEMANN-HILBERT PROBLEM FOR A GENERALIZED NIKISHIN SYSTEM." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770752_0035.

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Aomoto, Kazuhiko. "Connection Matrices and Riemann-Hilbert Problem for Q-Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-3.

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MOHAMMED, ALIP. "THE RIEMANN-HILBERT-POINCARÉ PROBLEM FOR HOLOMORPHIC FUNCTIONS IN POLYDISCS." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0082.

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Kamalian, M., D. Shepelsky, A. Vasylchenkova, J. E. Prilepsky, and S. K. Turitsyn. "Communication System Using Periodic Nonlinear Fourier Transform Based on Riemann-Hilbert Problem." In 2018 European Conference on Optical Communication (ECOC). IEEE, 2018. http://dx.doi.org/10.1109/ecoc.2018.8535439.

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ENOLSKI, V., and T. GRAVA. "ON THE ALGEBRO-GEOMETRIC SOLUTION OF 3 × 3 MATRIX RIEMANN-HILBERT PROBLEM." In Proceedings of the International Conference on SPT 2002. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795403_0005.

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