Small eigenvalues of large Hankel matrices:The indeterminate case

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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.
14 pages, 1 figure

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Classical Analysis and ODEs, 42C05, 33C25, 31A15

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http://salesiana.dossiersoluciones.com/handle/123456789/78837

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907110
 http://arxiv.org/abs/math/9907110

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arXiv