Small eigenvalues of large Hankel matrices : The indeterminate case ∗

@inproceedings{Berg1999SmallEO,
  title={Small eigenvalues of large Hankel matrices : The indeterminate case ∗},
  author={Christian Berg and Yang Chen and Mourad E. H. Ismail},
  year={1999}
}
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 expressions for this lower bound in a number of indeterminate moment problems. 
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q-Hermite polynomials

  • M.E.H. Ismail, D. R. Masson
  • biorthogonal rational functions, and q-beta…
  • 1994
Highly Influential
6 Excerpts

Some indeterminate moment problems and Freud-like weights

  • Y. Chen, M.E.H. Ismail
  • Constr. Approx. 14
  • 1998
2 Excerpts

On some Hermitian forms associated with two given curves of the complex plane, Col- lected papers (volume 2), 666{678

  • G. Szego
  • Birkha user,
  • 1982
1 Excerpt

An Introduction to Orthogonal Polynomials

  • T. S. Chihara
  • Gordon and Breach, New York
  • 1978
1 Excerpt

Finite sections of some classical inequalities

  • H. S. Wilf
  • 1970

Some orthogonal q-polynomials

  • W. A. Al-Salam, L. Carlitz
  • Math. Nachr. 30
  • 1965
3 Excerpts

The Classical Moment Problem and Some Related Questions in Analysis

  • N. I. Akhiezer
  • English translation, Oliver and Boyd, Edinburgh
  • 1965
1 Excerpt

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