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On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem
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 interpolat...
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Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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Series: | Журнал математической физики, анализа, геометрии |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106518 |
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Summary: | 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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