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Small eigenvalues of large Hankel matrices:The indeterminate case

Christian Berg·Yang Chen·Mourad E. H. Ismail
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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.

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Christian Berg, Yang Chen, Mourad E. H. Ismail. 1999-07-16. Small eigenvalues of large Hankel matrices:The indeterminate case. https://arxiv.org/abs/math/9907110

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