Details

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights


Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights


SpringerBriefs in Mathematics

von: Eli Levin, Doron S. Lubinsky

55,92 €

Verlag: Springer
Format: PDF
Veröffentl.: 13.02.2018
ISBN/EAN: 9783319729473
Sprache: englisch

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.

Beschreibungen

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. 
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.
Eli Levin is an emeritus professor at the Open University of Israel in Ramat Aviv. Doron Lubinsky is a professor at Georgia Institute of Technology. Both are authors of papers on approximation theory, and a joint monograph on orthogonal polynomials.
One of the first books of its kind published on the topicProvides a general treatment of varying exponential weightsAppeals to a wide range of researchers as well as young mathematicians

Diese Produkte könnten Sie auch interessieren:

Vedic Mathematics
Vedic Mathematics
von: SUMITA BOSE
EPUB ebook
9,99 €
Inverse Galois Theory
Inverse Galois Theory
von: Gunter Malle, B. Heinrich Matzat
PDF ebook
130,89 €