Small eigenvalues of large Hankel matrices:The indeterminate case
经典分析与常微分方程
2007-05-23 v1
摘要
In this paper we characterise the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given in terms of the orthonormal polynomials and we find expresions for this lower bound in a number of indeterminate moment problems.
引用
@article{arxiv.math/9907110,
title = {Small eigenvalues of large Hankel matrices:The indeterminate case},
author = {Christian Berg and Yang Chen and Mourad E. H. Ismail},
journal= {arXiv preprint arXiv:math/9907110},
year = {2007}
}
备注
14 pages, 1 figure