Recent Trends in Orthogonal Polynomials and Approximation Theory
Recent Trends in Orthogonal Polynomials and Approximation Theory

Author: Jorge Arvesú

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 314

ISBN-13: 0821848038

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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 Lopez 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 Lopez Lagomasino.

Orthogonal Polynomials: Current Trends and Applications
Orthogonal Polynomials: Current Trends and Applications

Author: Francisco Marcellán

Publisher: Springer Nature

Published: 2021

Total Pages: 327

ISBN-13: 3030561909

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The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018. These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in the EIBPOA by worldwide recognized researchers in the above fields. In this volume, several topics on the theory of polynomials orthogonal with respect to different inner products are analyzed, both from an introductory point of view for a wide spectrum of readers without an expertise in the area, as well as the emphasis on their applications in topics as integrable systems, random matrices, numerical methods in differential and partial differential equations, coding theory, and signal theory, among others.

Modern Trends in Constructive Function Theory
Modern Trends in Constructive Function Theory

Author: E. B. Saff

Publisher: American Mathematical Soc.

Published: 2016-03-31

Total Pages: 312

ISBN-13: 1470425343

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Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, and random polynomials.

Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications
Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications

Author: Jorge Arvesœ

Publisher: American Mathematical Soc.

Published: 2012-09-11

Total Pages: 266

ISBN-13: 0821868969

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This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Frontiers In Orthogonal Polynomials And Q-series
Frontiers In Orthogonal Polynomials And Q-series

Author: M Zuhair Nashed

Publisher: World Scientific

Published: 2018-01-12

Total Pages: 577

ISBN-13: 981322889X

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This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

General Orthogonal Polynomials
General Orthogonal Polynomials

Author: Herbert Stahl

Publisher: Cambridge University Press

Published: 1992-04-24

Total Pages: 272

ISBN-13: 9780521415347

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An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.

Topics in Classical and Modern Analysis
Topics in Classical and Modern Analysis

Author: Martha Abell

Publisher: Springer Nature

Published: 2019-10-21

Total Pages: 384

ISBN-13: 3030122778

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Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.

Notions of Positivity and the Geometry of Polynomials
Notions of Positivity and the Geometry of Polynomials

Author: Petter Brändén

Publisher: Springer Science & Business Media

Published: 2011-09-01

Total Pages: 413

ISBN-13: 3034801424

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The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.

Geometric Methods in Physics XL
Geometric Methods in Physics XL

Author: Piotr Kielanowski

Publisher: Springer Nature

Published: 2024

Total Pages: 466

ISBN-13: 3031624076

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Zusammenfassung: This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, integrable systems, quantum groups, Lie algebras and their generalizations and a wide variety of other areas. Specific topics include: Yang-Baxter equation The restricted Siegel disc and restricted Grassmannian Geometric and deformation quantization Degenerate integrability Lie algebroids and groupoids Skew braces Geometric Methods in Physics XL will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas