Szego limit theorems
Classical Analysis and ODEs
2007-05-23 v2
Abstract
The first Szego limit theorem has been extended by Bump-Diaconis and Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which extends a theorem of Helson and Lowdenslager.
Cite
@article{arxiv.math/0205052,
title = {Szego limit theorems},
author = {Russell Lyons},
journal= {arXiv preprint arXiv:math/0205052},
year = {2007}
}
Comments
18 pp