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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

Specificaties
Paperback, blz. | Engels
Springer International Publishing | e druk, 2018
ISBN13: 9783319729466
Rubricering
Springer International Publishing e druk, 2018 9783319729466
Onderdeel van serie SpringerBriefs in Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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. 

Specificaties

ISBN13:9783319729466
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

Inhoudsopgave

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.

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        Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights