An interpolation problem in the class of Stieltjes functions and its connection with other problems

DOI10.1007/BF01195584zbMath0908.30036OpenAlexW1997596268MaRDI QIDQ1384112

A. A. Nudel'man, M. G. Krejn

Publication date: 18 March 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195584

zbMATH Keywords

Stieltjes moment problem

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Moment problems and interpolation problems in the complex plane (30E05) Collected or selected works; reprintings or translations of classics (01A75)

Related Items (8)

On the Carathéodory-Fejér Interpolation Problem for Stieltjes Functions ⋮ Reconstructing Stieltjes Functions from Their Approximate Values: A Search for a Needle in a Haystack ⋮ Inverse eigenvalue problems for a damped Stieltjes string with mixed data ⋮ A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case ⋮ On the behavior of elastic composites with transverse isotropic symmetry ⋮ Inverse problem for a Stieltjes string damped at an interior point ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions

Cites Work

• Discrete and continuous boundary problems
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• On the spectral functions of the string
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