81. 05rit094 Random Matrices, Multi-orthogonal Polynomials And Riemann the earlier results for 1matrix models and the Riemannn-hilbert problem settingfor multi-orthogonal polynomials developed previously. http://www.pims.math.ca/birs/workshops/2005/05rit094/

82. The Zakharov-Shabat Spectral Problem On The Semi-line: Hilbert Formulation And A Then solving the inverse problem means solving a hilbert problem with particularprescribed behaviour. It is demonstrated that the direct and inverse http://stacks.iop.org/ja/34/7359

@import url(http://ej.iop.org/style/nu/EJ.css); Quick guide Site map Athens login IOP login: Password: Create account Alerts Contact us Journals Home ... This issue J Leon et al J. Phys. A: Math. Gen. The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications J Leon and A Spire Received 1 May 2001 Published 31 August 2001 Print publication: Issue 36 (14 September 2001) Abstract. The inverse spectral transform for the Zakharov-Shabat equation on the semi-line x k k ) at infinity in the whole upper half-plane (where it may possess single poles) and is continuous and bounded on the real k axis. The method is applied to stimulated Raman scattering and sine-Gordon (light cone) for which it is demonstrated that time evolution conserves the properties of the spectral transform. PACS numbers: 02.30.Jr, 41.20.-q doi:10.1088/0305-4470/34/36/316 URL: http://stacks.iop.org/0305-4470/34/7359 PII: S0305-4470(01)24414-X PDF (169 KB) References Articles citing this article Full text PDF (169 KB) References Articles citing this article Article options E-mail abstract Download to citation manager Link to this article Information about Filing Cabinet Find related articles By author J Leon A Spire IOP CrossRef Search Recommend Recommend this article Recommend this journal Author services NEW ... Submit referee report Reasons to login Set up an E-mail alert Use your Filing Cabinet Login Previous article ... Help Biomedical Materials British Journal of Applied Physics (1950-1967) Chinese Physics Chinese Physics Letters

83. Volume 3 7.1 Riemannhilbert Problem The Precise Sense. 7.2 Riemann-hilbert Problem forOrthogonal Polynomials. 7.3 Deformation of a Riemann-hilbert Problem http://www.cims.nyu.edu/lecnotes/vol3.htm

Preface 1 Riemann-Hilbert Problems 1.1 What Is a Riemann-Hilbert Problem? 1.2 Examples Korteweg-de Vries Equation Boussinesq Equation Burger's Equation Toda Equations Other Problems 2 Jacobi Operators 2.1 Jacobi Matrices 2.2 The Spectrum of Jacobi Matrices 2.3 The Toda Flow 2.4 Unbounded Jacobi Operators 2.5 Appendix: Support of a Measure 3 Orthogonal Polynomials 3.1 Construction of Orthogonal Polynomials 3.2 A Riemann-Hilbert Problem 3.3 Some Symmetry Considerations 3.4 Zeros of Orthogonal Polynomials 4 Continued Fractions 4.1 Continued Fraction Expansion of a Number 4.2 Measure Theory and Ergodic Theory 4.3 Application to Jacobi Operators 4.4 Remarks on the Continued Fraction Expansion of a Number 5 Random Matrix Theory 5.1 Introduction 5.2 Unitary Ensembles 5.3 Spectral Variables for Hermitian Matrices 5.4 Distribution of Eigenvalues 5.5 Distribution of Spacings of Eigenvalues 5.6 Further Remarks on the Nearest-Neighbor Spacing Distribution and Universality 6 Equilibrium Measures 6.1 Scaling

84. European School On Complex Analysis Title Riemannhilbert problem for orthogonal polynomials. Summary A Riemann-hilbertproblem consists of finding an analytic function in the complex plane http://www.mat.uc.pt/~ajplb/10.htm

th European Intensive Course on Complex Analysis and applications to partial differential equations Departamento de Matemática Universidade de Coimbra , Portugal May to June Goal of the Course Schedule of the course Photoalbum Poster ... Sponsors Goal of the Course This intensive course follows the nine held at the Universities of Coimbra and Aveiro from 1995 to 2003 and there are plans for intensive courses in the following years. The lecture notes of some of the courses have been published in Coimbra and others are in print. This intensive course will have a total of 40 hours of lectures and is at postgraduate level. Lecturers will have time available to discuss with the students. Successfully participating students will get a certificate. This course is organized by the Universities of Coimbra and Aveiro with the same goals as the ones organized under the Socrates/Erasmus Intensive Program of Higher Education, and is opened to all young mathematicians interested in Complex Analysis and its applications. There will be a Workshop on "Applications and Generalizations of Complex Analysis" on the 4th and 5th of June 2004.

85. An Extension Of The Steepest Descent Method For Riemann-Hilbert Problems: The Sm an algorithm, to obtain the support of the Riemannhilbert problem for leadingasymptotics. KdV, Korteweg-de Vries; RHP, Riemann-hilbert problem. http://www.pnas.org/cgi/content/full/95/2/450

This Article Abstract Full Text (PDF) Alert me when this article is cited ... Alert me if a correction is posted Services Similar articles in this journal Similar articles in ISI Web of Science Similar articles in PubMed Alert me to new issues of the journal ... Download to citation manager Search for citing articles in: ISI Web of Science (4) PubMed PubMed Citation Articles by Deift, P. Articles by Zhou, X. Vol. 95, Issue 2, 450-454, January 20, 1998 Mathematics An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation P. Deift S. Venakides , and X. Zhou Courant Institute, New York University, New York, NY 10012, and Department of Mathematics, Duke University, Durham, NC 27708 Communicated by Peter D. Lax, New York University, New York, NY, October 22, 1996 (received for review October 18, 1996) ABSTRACT Top Abstract Article References This paper extends the steepest descent method for Riemann-Hilbert problems introduced by Deift and Zhou in a critical new way. We present, in particular, an algorithm, to obtain the support

86. Hilbert Space - Definition Of Hilbert Space By The Free Online Dictionary, Thesa hilbert transform hilbert s 10th problem hilbert s axioms hilbert s basistheorem hilbert s eighth problem hilbert s eleventh problem http://www.thefreedictionary.com/Hilbert space

Domain='thefreedictionary.com' word='Hilbert space' Your help is needed: American Red Cross The Salvation Army join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia Hilbert space Also found in: Wikipedia 0.03 sec. Page tools Printer friendly Cite / link Email Feedback Thesaurus Legend: Synonyms Related Words Antonyms Noun Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality Mentioned in References in classic literature No references found No references found Dictionary/thesaurus browser Full browser Hilal hilar hilarious hilariously ... Hilbert Hilbert space Hildebrand Hildegard von Bingen Hildesheim Hilding ... Hilary, St

87. [nlin/0102018] Riemann-Hilbert Problem For The Small Dispersion Limit Of The KdV Riemannhilbert problem for the small dispersion limit of the KdV equation andlinear overdetermined systems of Euler-Poisson-Darboux type. Author T. Grava http://arxiv.org/abs/nlin.SI/0102018

Nonlinear Sciences, abstract nlin.SI/0102018 From: Grava [ view email ] Date: Sat, 17 Feb 2001 19:19:32 GMT (26kb) Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type Author: T. Grava Comments: 32 pages, 1 figure, latex2e Subj-class: Exactly Solvable and Integrable Systems Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv nlin find abs

88. Atlas: The Riemann-Hilbert Boundary Value Problem With Piecewise Continuous Boun The Riemannhilbert Boundary Value Problem with Piecewise Continuous BoundaryData For n-th Order Polyanalytic Function in Weighted Sobolev Spaces W sub (n, http://atlas-conferences.com/c/a/o/f/16.htm

Atlas home Conferences Abstracts about Atlas Workshop on Recent Trends in Applied Complex Analysis June 1-5, 2004 Middle East Technical University Ankara, Turkey Organizers H. Begehr (Free University, Berlin, Germany), R.P. Gilbert (University of Delaware, USA), A.O. Celebi (Middle East Technical University, Ankara, Turkey) View Abstracts The Riemann-Hilbert Boundary Value Problem with Piecewise Continuous Boundary Data For n-th Order Polyanalytic Function in Weighted Sobolev Spaces W sub (n, p) (D, rho) by A. S. Mshimba University of Dar es Salaam -Tanzania The defining equation for a polyanalytic function PHI is used in transforming the given Riemann-Hilbert boundary value problem to n equivalent Riemann-Hilbert problems with piecewise continuous data for holomorphic functions F sub k , k = 1, 2, ..., n, expressable in terms of the holomorphic functions phi sub s , s = 0, 1, ..., n-1 which appear in ther definition of PHI. These new boundary value problems are then reduced to n equivalent classical Riemann-Hilbert problems with continuous data for holomorphic functions, whose solurion is readily available in the literature. Finally the definition of F sub k is used to determine the polyanalytic function PHI, which turns out, under certain assumptions, to be an element of some weighted Sobolev space W sub (n, p) (D, rho) , where the weight rho is the distance of the variable z from the boundary, raised to a certain power. Date received: May 25, 2004

89. Citebase - The Zakharov-Shabat Spectral Problem On The Semi-line: Hilbert Formul Then solving the inverse problem means solving a hilbert problem with particularprescribed behavior. It is demonstrated that the direct and inverse http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:nlin/0105066

90. Hain: On A Generalization Of Hilbert's 21st Problem In this paper we consider a generalization of hilbert s problem (also called GENERALIZED RIEMANNhilbert PROBLEM. - Characterize the monodromy repre- http://www.numdam.org/numdam-bin/item?id=ASENS_1986_4_19_4_609_0

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