The Nevai Condition
Spectral Theory
2008-09-15 v1 Mathematical Physics
math.MP
Abstract
We study Nevai's condition that for orthogonal polynomials on the real line, where is the CD kernel. We prove that it holds for the Nevai class of a finite gap set uniformly on the spectrum and we provide an example of a regular measure on where it fails on an interval.
Cite
@article{arxiv.0809.2255,
title = {The Nevai Condition},
author = {Jonathan Breuer and Yoram Last and Barry Simon},
journal= {arXiv preprint arXiv:0809.2255},
year = {2008}
}