Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

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...

Full description

Saved in:
Bibliographic Details
Main Author: Levin, Eli (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:SpringerBriefs in Mathematics,
Subjects:
Algebra.
Field theory (Physics).
Approximation theory.
ISBN:9783319729473
ISSN:2191-8198
Online Access: Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • 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.

Similar Items