Small eigenvalues of large Hankel matrices: The indeterminate case

Authors

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

DOI:

https://doi.org/10.7146/math.scand.a-14379

Abstract

In this paper we characterize 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 expressions for this lower bound in a number of indeterminate moment problems.

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Published

2002-09-01

Issue

Vol. 91 No. 1 (2002)

Section

Articles

How to Cite

[1]
C. Berg, Y. Chen, and M. E. H. Ismail, “Small eigenvalues of large Hankel matrices: The indeterminate case”, Math. Scand., vol. 91, no. 1, pp. 67–81, Sep. 2002, doi: 10.7146/math.scand.a-14379.