Geodesic
On the Berg–Chen–Ismail theorem and the Nevanlinna–Pick problem
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 4, pp. 451-456
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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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L. Golinskii; F. Peherstorfer; P. Yuditskii. On the Berg–Chen–Ismail theorem and the Nevanlinna–Pick problem. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 4, pp. 451-456. http://geodesic.mathdoc.fr/item/JMAG_2008_4_4_a0/

[1] N. I. Akhiezer, The Classical Moment Problem and Some Related Questions in Analysis, Oliver and Boyed, Edinburgh, 1965 | MR | Zbl

[2] C. Berg, Y. Chen, M. Ismail, “Small Eigenvalues of Large Hankel Matrices: the Indeterminate Case”, Math. Scand., 91:1 (2002), 67–81 | MR | Zbl

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