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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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2008 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106518 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem / L. Golinskii, F. Peherstorfer, P. Yuditskii // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 451-456. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862538798279163904 |
|---|---|
| author | Golinskii, L. Peherstorfer, F. Yuditskii, P. |
| author_facet | Golinskii, L. Peherstorfer, F. Yuditskii, P. |
| citation_txt | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem / L. Golinskii, F. Peherstorfer, P. Yuditskii // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 451-456. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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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| first_indexed | 2025-11-24T15:14:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106518 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-24T15:14:56Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Golinskii, L. Peherstorfer, F. Yuditskii, P. 2016-09-29T20:21:53Z 2016-09-29T20:21:53Z 2008 On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem / L. Golinskii, F. Peherstorfer, P. Yuditskii // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 451-456. — Бібліогр.: 5 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106518 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. The authors thank Alexander Kheifetz for helpful discussions. The paper is written mainly during the first author's visit to Johannes Kepler University, Linz. He wishes to thank JKU for the hospitality and the Marie Curie Foundation that made this visit possible. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem Article published earlier |
| spellingShingle | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem Golinskii, L. Peherstorfer, F. Yuditskii, P. |
| title | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem |
| title_full | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem |
| title_fullStr | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem |
| title_full_unstemmed | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem |
| title_short | On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem |
| title_sort | on the berg-chen-ismail theorem and the nevanlinna-pick problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106518 |
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