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Bounds and asymptotics for orthogona...

Levin, Eli.

Bounds and asymptotics for orthogonal polynomials for varying weights

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bounds and asymptotics for orthogonal polynomials for varying weightsby Eli Levin, Doron S. Lubinsky.
Author:	Levin, Eli.
other author:	Lubinsky, Doron S.
Published:	Cham :Springer International Publishing :2018.
Description:	vii, 170 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Orthogonal polynomials.
Online resource:	http://dx.doi.org/10.1007/978-3-319-72947-3
ISBN:	9783319729473$q(electronic bk.)

Bounds and asymptotics for orthogonal polynomials for varying weights
Levin, Eli.

Bounds and asymptotics for orthogonal polynomials for varying weights[electronic resource] /by Eli Levin, Doron S. Lubinsky. - Cham :Springer International Publishing :2018. - vii, 170 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319729473$q(electronic bk.)

Standard No.: 10.1007/978-3-319-72947-3doiSubjects--Topical Terms:

239938
Orthogonal polynomials.

LC Class. No.: QA404.5

Dewey Class. No.: 515.55

Bounds and asymptotics for orthogonal polynomials for varying weights
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245 1 0 $a Bounds and asymptotics for orthogonal polynomials for varying weights $h [electronic resource] / $c by Eli Levin, Doron S. Lubinsky.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a vii, 170 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
520 $a 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.
650 0 $a Orthogonal polynomials. $3 239938
650 0 $a Convergence. $3 182684
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Field Theory and Polynomials. $3 274058
650 2 4 $a Approximations and Expansions. $3 281039
700 1 $a Lubinsky, Doron S. $3 806725
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-72947-3
950 $a Mathematics and Statistics (Springer-11649)