English

On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem

Classical Analysis and ODEs 2008-03-31 v1

Abstract

In 2002 C. Berg, Y. Chen, and M. Ismail found a nice relation between the determinancy of the Hamburger moment problem and asymptotic behavior of the smallest eigenvalues of the corresponding Hankel matrices. We investigate whether an analog of this statement holds for the Nevanlinna--Pick interpolation problem.

Cite

@article{arxiv.0803.4064,
  title  = {On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem},
  author = {L. Golinskii and F. Peherstorfer and P. Yuditskiy},
  journal= {arXiv preprint arXiv:0803.4064},
  year   = {2008}
}

Comments

5 pages, LaTeX file

R2 v1 2026-06-21T10:25:15.558Z