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Produktbild: Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

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Beschreibung

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...

Beschreibung

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. 

Rezension

“This book is written by two well-reputed specialists on orthogonal polynomials. Thus, It will be of great interest to those studying orthogonal polynomials, as well as Ph.D. students specializing in this or related areas. The structure of the text is nice. In fifteen short chapters the authors provide us with the statement of the results and their corresponding proofs in a rigorous and precise way.” (Juan José Monero-Balcázar, Mathematical Reviews, October, 2018)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

21.02.2018

Abbildungen

VII, 170 p.

Verlag Springer

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

21.02.2018

Abbildungen

VII, 170 p.

Verlag Springer
Seitenzahl

170

Maße (L/B/H)

23.5/15.5/1.1 cm

Gewicht

283 g

Auflage

1st ed. 2018

Sprache

Englisch

ISBN

978-3-319-72946-6

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

  • 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.