Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
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Publication:418702
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
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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- Nevanlinna-Pick interpolation and factorization of linear functionals
- Polynomials with no zeros on the bidisk
- Schur class operator functions and automorphisms of Hardy algebras
- Local geometry of zero sets of holomorphic functions near the torus
- Abrahamse's interpolation theorem and Fuchsian groups
- Nevanlinna-Pick interpolation for \({\mathbb{C}}+BH^\infty\)
- The Pick interpolation theorem for finitely connected domains
- Interpolation problems and Toeplitz operators on multiply connected domains
- The commutant lifting approach to interpolation problems
- Pick conditions on a uniform algebra and von Neumann inequalities
- A class of subnormal operators related to multiply-connected domains
- Norm preserving extensions of holomorphic functions from subvarieties of the bidisk
- Complete Nevanlinna-Pick kernels
- Distinguished varieties
- Embedding Riemann surfaces in maximal ideal spaces
- Theory of abstract Hardy spaces and the universal Hardy class
- Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\)
- Pick interpolation in several variables
- Test functions in constrained interpolation
- Polynomials defining distinguished varieties
- Algebraic pairs of isometries
- Agler interpolation families of kernels
- A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions
- A constrained Nevanlinna-Pick interpolation problem
- Nevanlinna-Pick interpolation on the bidisk
- Concrete Interpolation of Meromorphic Matrix Functions on Riemann Surfaces
- The 𝐻^{𝑝} spaces of an annulus
- Hyperbolic algebraic and analytic curves
- Generalized Interpolation in H ∞
- Pairs of Inner Functions on Finite Riemann Surfaces
- Operator algebras of idempotents
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