Small eigenvalues of large Hankel matrices:The indeterminate case

Details Small eigenvalues of large Hankel matrices:The indeterminate case Small eigenvalues of large Hankel matrices:The indeterminate case

1999-07-16

arxiv.org/abs/math/9907110v1

Mathematics

Classical Analysis and ODEs

14 pages, 1 figure

Scientific paper

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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