Necessary and sufficient conditions for extending a function to a Schur function
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Publication:5150231
DOI10.1070/SM9366zbMath1461.30084OpenAlexW3095756269MaRDI QIDQ5150231
Publication date: 10 February 2021
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9366
Spaces of bounded analytic functions of one complex variable (30H05) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70)
Related Items (2)
On the Krein-Rechtman theorem in the presence of multiple points ⋮ On the solvability of the Nevanlinna-Pik interpolation problem;О разрешимости интерполяционной проблемы Неванлинны-Пика
Cites Work
- An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture
- Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties
- The capacity of the rational preimage of a compact set
- On singular points of meromorphic functions determined by continued fractions
- Capacity of a compact set in a logarithmic potential field
- On the Van Vleck theorem for limit-periodic continued fractions of general form
- Convergence of a limit periodic Schur continued fraction
- An analog of Pólya's theorem for multivalued analytic functions with finitely many branch points
- An analogue of Polya's theorem for piecewise holomorphic functions
- On Hankel determinants of functions given by their expansions in P-fractions
- Continued fractions with limit periodic coefficients
- Schur’s criterion for formal power series
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