Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights (SpringerBriefs in Mathematics)

✍ Scribed by Eli Levin; Doron S. Lubinsky

Tongue: English
Edition: 1st ed. 2018
Category: Library

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Bounds and Asymptotics for Orthogonal Po

📁 Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

✍ Eli Levin,Doron S. Lubinsky (auth.) 📂 Library 📅 2018 🏛 Springer International Publishing 🌐 English

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

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The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the future. In this monograph, the authors investigate orthogonal polynomials for exponential weights

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"This book describes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights