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＜電子ブック＞
Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights / by Eli Levin, Doron S. Lubinsky
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	VII, 170 p : online resource
著者標目	*Levin, Eli author Lubinsky, Doron S author SpringerLink (Online service)
件　名	LCSH:Algebraic fields LCSH:Polynomials LCSH:Approximation theory FREE:Field Theory and Polynomials FREE:Approximations and Expansions
一般注記	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. HTTP:URL=https://doi.org/10.1007/978-3-319-72947-3

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