![]() ![]() |
Título: Recent Trends In Orthogonal Polynomials And Approximation Theory | |
Autor: Arvesu Jorge/ Marcellan Francisco/ Martinez-Finkelshtein And | Precio: $1122.36 | |
Editorial: American Mathematical Society | Año: 2010 | |
Tema: Matematicas, Textos, Teorias | Edición: 1ª | |
Sinopsis | ISBN: 9780821848036 | |
This volume contains invited lectures and selected contributions from the International Workshop on Orthogonal Polynomials and Approximation Theory, held at Universidad Carlos III de Madrid on September 8-12, 2008, and which honored Guillermo López Lagomasino on his 60th birthday.
This book presents the state of the art in the theory of Orthogonal Polynomials and Rational Approximation with a special emphasis on their applications in random matrices, integrable systems, and numerical quadrature. New results and methods are presented in the papers as well as a careful choice of open problems, which can foster interest in research in these mathematical areas. This volume also includes a brief account of the scientific contributions by Guillermo López Lagomasino. Readership Graduate students and research mathematicians interested in orthogonal polynomials, approximation theory, and their applications. Table of Contents F. Marcellán and A. Martínez-Finkelshtein -- Guillermo López Lagomasino: mathematical life B. de la Calle Ysern -- A walk through approximation theory L. Baratchart and M. Yattselev -- Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in $L^2$ of the circle L. Garza and F. Marcellán -- Quadrature rules on the unit circle. A survey. A. Ibort, P. Linares, and J. G. Llavona -- On the multilinear trigonometric problem of moments A. B. J. Kuijlaars -- Multiple orthogonal polynomial ensembles E. Levin and D. S. Lubinsky -- Some equivalent formulations of universality limits in the bulk A. López García -- Greedy energy points with external fields A. Martínez-Finkelshtein and E. A. Rakhmanov -- On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials E. B. Saff -- Remarks on relative asymptotics for general orthogonal polynomials B. Simon -- Fine structure of the zeros of orthogonal polynomials: a progress report H. Stahl -- A potential-theoretic problem connected with complex orthogonality W. Van Assche -- Orthogonal polynomials and approximation theory: some open problems |