On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem

Автор(и)

  • L. Golinskii Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkiv, 61103, Ukraine
  • F. Peherstorfer Institute for Analysis, Johannes Kepler University Linz A-4040 Linz, Austria
  • P. Yuditskii Institute for Analysis, Johannes Kepler University Linz A-4040 Linz, Austria

Ключові слова:

moment problem, Blaschke product, Carleson measure, Pick matrix.

Анотація

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.

Mathematics Subject Classification: 30E05 (primary), 30D50 (secondary).

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Як цитувати

(1)
Golinskii, L.; Peherstorfer, F.; Yuditskii, P. On the Berg-Chen-Ismail Theorem and the Nevanlinna-Pick Problem. Журн. мат. фіз. анал. геом. 2008, 4, 451-456.

Номер

Том 4 № 4 (2008)

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