The Use of Kernel Functions in Solving the Pick Interpolation Problem
DOI10.1007/978-3-0348-0667-1_67zbMath1359.47011OpenAlexW1601627818MaRDI QIDQ3462166
Publication date: 4 January 2016
Published in: Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0667-1_67
multiple kernelscomplete Pick kernelsMcCullough-Quiggin theoremPick interpolation problemSarason's approach
Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)
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- Kernel decompositions for Schur functions on the polydisk
- Boundary Nevanlinna-Pick interpolation via reduction and augmentation
- Nevanlinna-Pick meromorphic interpolation: The degenerate case and minimal norm solutions
- Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality
- Toeplitz corona theorems for the polydisk and the unit ball
- The Pick interpolation theorem for finitely connected domains
- The commutant lifting approach to interpolation problems
- Interpolation of rational matrix functions
- Pick conditions on a uniform algebra and von Neumann inequalities
- Models for commuting contractions
- Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
- Nevanlinna-Pick interpolation with boundary data
- Complete Nevanlinna-Pick kernels
- For which reproducing kernel Hilbert spaces is Pick's theorem true!
- On the Toeplitz Corona problem
- Factorization and reflexivity of Fock spaces
- Multi-analytic operators on Fock spaces
- Reproducing kernels for Hardy spaces on multiply connected domains
- Distinguished varieties
- Toral algebraic sets and function theory on polydisks
- Nevanlinna-Pick Interpolation on Sobolev Space
- Agler interpolation families of kernels
- A Generalization of Von Neumann's Inequality to the Complex Ball
- Nevanlinna-Pick interpolation on the bidisk
- Nevanlinna–Pick interpolation: Pick matrices have bounded number of negative eigenvalues
- Nevanlinna-Pick Kernels and Localization
- An Operator Theoretic Approach to Degenerated Nevanlinna‐Pick Interpolation
- Extreme Pick-Nevanlinna Interpolants
- The Takagi problem on the disk and bidisk
- Interpolation in semigroupoid algebras
- On boundary interpolation for matrix valued Schur functions
- Generalized Interpolation in H ∞
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
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