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

L. Golinskii, F. Peherstorfer, P. Yuditskii

Research output: Contribution to journalArticlepeer-review


In 2002, C. Berg, Y. Chen, and M. Ismail found a nice relation between the determinacy 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.

Original languageEnglish
Pages (from-to)451-456
Number of pages6
JournalJournal of Mathematical Physics, Analysis, Geometry
Issue number4
StatePublished - 2008
Externally publishedYes


  • Blaschke product
  • Carleson measure
  • Moment problem
  • Pick matrix


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