Eli Levin & Doron S. Lubinsky 
Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights [PDF ebook] 

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This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals.  Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. 

This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. 

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Table of Content

Introduction.- Statement of Main Results.- Potential Theoretic Estimates.- Restricted Range Inequalities.- Bounds for Christoffel Functions.- Spacing of Zeros.- Bounds on Orthogonal Polynomials.- Markov-Bernstein Inequalities in
L.- Discretization of Potentials.- Derivatives of Discretized Polynomials.- Weighted Polynomial Approximations.- Formulae Involving Bernstain-Szego Polynomials.- Asymptotics of Orthonormal Polynomials.- Further Bounds.- Universality Limits and Entropy Integrals.

About the author

Eli Levin is an emeritus professor at the Open University of Israel in Ramat Aviv. 

Doron Lubinsky is a professor at Georgia Institute of Technology. Both are authors of papers on approximation theory, and a joint monograph on orthogonal polynomials.

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Language English ● Format PDF ● Pages 170 ● ISBN 9783319729473 ● File size 2.0 MB ● Publisher Springer International Publishing ● City Cham ● Country CH ● Published 2018 ● Downloadable 24 months ● Currency EUR ● ID 5607679 ● Copy protection Social DRM

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