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arxiv: math/9907110 · v1 · submitted 1999-07-16 · 🧮 math.CA

Small eigenvalues of large Hankel matrices:The indeterminate case

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keywords indeterminateboundcaseeigenvalueshankellowermatricesbelow
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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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