Nevanlinna-Pick interpolation on distinguished varieties in the bidisk

DOI10.1016/j.jfa.2012.01.028zbMath1241.32002arXiv1009.4144OpenAlexW1969759339MaRDI QIDQ418702

Greg Knese, Michael T. Jury, Scott A. McCullough

Publication date: 30 May 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4144

zbMATH Keywords

bidiskdistinguished varietiesNevanlinna-Pick interpolation

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Other generalizations of function theory of one complex variable (32A30)

Related Items (13)

Polynomials with no zeros on a face of the bidisk ⋮ Distinguished varieties through the Berger-Coburn-Lebow theorem ⋮ Rational dilation problems associated with constrained algebras ⋮ A uniqueness theorem for bounded analytic functions on the polydisc ⋮ Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties ⋮ Determining sets for holomorphic functions on the symmetrized bidisk ⋮ Complete Nevanlinna-Pick kernels and the characteristic function ⋮ Inner functions on the bidisk and associated Hilbert spaces ⋮ Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc. II. ⋮ Eigenvalues of Toeplitz operators on the annulus and Neil algebra ⋮ Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc ⋮ Spectral sets and distinguished varieties in the symmetrized bidisc ⋮ Level curve portraits of rational inner functions

Cites Work

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