paper

Small eigenvalues of large Hankel matrices:The indeterminate case

arXiv:math/9907110

Abstract

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.

14 pages, 1 figure

Small eigenvalues of large Hankel matrices:The indeterminate case · wovepaper