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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 4, Pages 451–456 (Mi jmag108)  
On the Berg–Chen–Ismail theorem and the Nevanlinna–Pick problem

L. Golinskiia, F. Peherstorferb, P. Yuditskiib

a Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
b Institute for Analysis, Johannes Kepler University Linz, A-4040 Linz, Austria
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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.
Key words and phrases: moment problem, Blaschke product, Carleson measure, Pick matrix.
Received: 19.05.2008
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Document Type: Article
MSC: 30E05 (primary), 30D50 (secondary)
Language: English
Citation: L. Golinskii, F. Peherstorfer, P. Yuditskii, “On the Berg–Chen–Ismail theorem and the Nevanlinna–Pick problem”, Zh. Mat. Fiz. Anal. Geom., 4:4 (2008), 451–456
Citation in format AMSBIB
\Bibitem{GolPehYud08}
\by L.~Golinskii, F.~Peherstorfer, P.~Yuditskii
\paper On the Berg--Chen--Ismail theorem and the Nevanlinna--Pick problem
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 4
\pages 451--456
\mathnet{http://mi.mathnet.ru/jmag108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485239}
\zmath{https://zbmath.org/?q=an:1188.30046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262196800001}
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