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Bounds and asymptotics for orthogona...

Levin, Eli.

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Bounds and asymptotics for orthogonal polynomials for varying weights

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Bounds and asymptotics for orthogonal polynomials for varying weights/ by Eli Levin, Doron S. Lubinsky.
作者:	Levin, Eli.
其他作者:	Lubinsky, Doron S.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	vii, 170 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Orthogonal polynomials. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-72947-3
ISBN:	9783319729473

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

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

558372
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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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 558372
650 0 $a Convergence. $3 589031
650 1 4 $a Mathematics. $3 515831
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