Small eigenvalues of large Hankel matrices: The indeterminate case

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

doi:10.7146/math.scand.a-14379

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

How to Cite

Berg, C., Chen, Y., & Ismail, M. E. H. (2002). Small eigenvalues of large Hankel matrices: The indeterminate case. MATHEMATICA SCANDINAVICA, 91(1), 67–81. https://doi.org/10.7146/math.scand.a-14379