Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

• Main Authors: Levin, Eli (Author, http://id.loc.gov/vocabulary/relators/aut), Lubinsky, Doron S. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Algebra.; Field theory (Physics).; Approximation theory.; Field Theory and Polynomials.; Approximations and Expansions.
• Physical Description: VII, 170 p. online resource.
• ISBN: 9783319729473
• ISSN: 2191-8198
• DOI: 10.1007/978-3-319-72947-3

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. .