On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions

DOI10.1007/BF01257874zbMath0910.47010OpenAlexW1999656021MaRDI QIDQ1386740

Aalt Dijksma, Daniel Alpay, Vladimir Bolotnikov

Publication date: 12 April 1999

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

Full work available at URL: https://doi.org/10.1007/bf01257874

zbMATH Keywords

Nevanlinna-Pick interpolation problemPick matricesStieltjes functionsfractional linear transformationgeneralized Stieltjes matrix functions

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (6)

Boundary Triplets, Weyl Functions, and the Kreĭn Formula ⋮ Bitangential interpolation in generalized Schur classes ⋮ Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮ Interpolation by polynomials with symmetries ⋮ Some extensions of Loewner's theory of monotone operator functions. ⋮ Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem

Cites Work

• The two-sided residue interpolation in the Stieltjes class of matrix functions
• Multiplicative and additive classes of Stieltjes analytic matrix-valued functions, and interpolation problems associated with them. I
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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