**Contemporary Mathematics**

Volume: 507;
2010;
298 pp;
Softcover

MSC: Primary 15; 26; 30; 31; 33; 41; 42; 44; 65;

Print ISBN: 978-0-8218-4803-6

Product Code: CONM/507

List Price: $94.00

Individual Member Price: $75.20

**Electronic ISBN: 978-0-8218-8186-6
Product Code: CONM/507.E**

List Price: $94.00

Individual Member Price: $75.20

# Recent Trends in Orthogonal Polynomials and Approximation Theory

Share this page *Edited by *
*Jorge Arvesú; Francisco Marcellán; Andrei Martínez-Finkelshtein*

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.

#### Table of Contents

# Table of Contents

## Recent Trends in Orthogonal Polynomials and Approximation Theory

- Contents vii8 free
- Preface ix10 free
- Guillermo López Lagomasino: Mathematical Life 112 free
- A walk through approximation theory 2536
- Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in L2 of the circle 8798
- Quadrature rules on the unit circle. A survey. 113124
- On the multilinear trigonometric problem of moments 141152
- Multiple orthogonal polynomial ensembles 155166
- Some equivalent formulations of universality limits in the bulk 177188
- Greedy energy points with external fields 189200
- On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials 209220
- Remarks on relative asymptotics for general orthogonal polynomials 233244
- Fine structure of the zeros of orthogonal Polynomials: A progress report 241252
- A Potential-theoretic problem connected with complex orthogonality 255266
- Orthogonal polynomials and approximation theory: Some open problems 287298

#### Readership

Graduate students and research mathematicians interested in orthogonal polynomials, approximation theory, and their applications.