arXiv math/99071101999-07-16math.CA

Small eigenvalues of large Hankel matrices:The indeterminate case

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

备注：: 14 pages, 1 figure

英文摘要：

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.

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