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

L. Golinskii; F. Peherstorfer; P. Yuditskii

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

L. Golinskii
, F. Peherstorfer
, P. Yuditskii

NASU - B. Verkin Institute for Low Temperature Physics and Engineering
Johannes Kepler University Linz

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	451-456
Number of pages	6
Journal	Journal of Mathematical Physics, Analysis, Geometry
Volume	4
Issue number	4
State	Published - 2008
Externally published	Yes

Keywords

Blaschke product
Carleson measure
Moment problem
Pick matrix

Cite this

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abstract = "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.",

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KW - Carleson measure

KW - Moment problem

KW - Pick matrix

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

Abstract

Keywords

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