The character-automorphic Nehari problem: Non-uniqueness criterion and some extremal solutions

DOI10.4171/ZAA/762zbMath0876.30042OpenAlexW2003026076MaRDI QIDQ1363043

Peter Yuditskii

Publication date: 7 August 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/762

zbMATH Keywords

Hardy classesdirect Cauchy theoremNehari problemcharacter-automorphicFuchsian group of Widom type

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Szegő's theorem for canonical systems: the Arov gauge and a sum rule

Cites Work

• Hardy classes on infinitely connected Riemann surfaces
• The Pick interpolation theorem for finitely connected domains
• Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
• \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
• On the Green's function of Fuchsian groups
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