Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights / / by Eli Levin, Doron S. Lubinsky

• Autore: Levin Eli
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
• Edizione: 1st ed. 2018.
• Descrizione fisica: 1 online resource (170 pages)
• Disciplina: 515.55
• Soggetto topico: Algebra; Field theory (Physics); Approximation theory; Field Theory and Polynomials; Approximations and Expansions
• Persona (resp. second.): LubinskyDoron S
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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. .
• Titolo autorizzato: Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
• ISBN: 3-319-72947-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910300112503321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Mathematics, . 2191-8198