On the solvability of the Nevanlinna-Pik interpolation problem;О разрешимости интерполяционной проблемы Неванлинны-Пика

DOI10.4213/SM9826OpenAlexW4385356631MaRDI QIDQ6146537

Viktor I. Buslaev

Publication date: 15 January 2024

Published in: Математический сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sm9826

zbMATH Keywords

Schur functionsNevanlinna-Pick interpolation problemNevanlinna functionsCarathéodory 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)

Cites Work

• The Pick interpolation theorem for finitely connected domains
• Nevanlinna-Pick interpolation with boundary data
• On the Krein-Rechtman theorem in the presence of multiple points
• Convergence of a limit periodic Schur continued fraction
• Schur's criterion for formal Newton series
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• Necessary and sufficient conditions for extending a function to a Schur function
• Schur’s criterion for formal power series
• Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching
• Necessary and sufficient conditions for extending a function to a Carathéodory function

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