Nevanlinna-Pick Interpolation on Sobolev Space
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Publication:3468178
DOI10.2307/2048281zbMath0693.47006OpenAlexW4253976958MaRDI QIDQ3468178
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2048281
Dilations, extensions, compressions of linear operators (47A20) Kernel functions in one complex variable and applications (30C40) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items (23)
Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\) ⋮ Blaschke product for a Hilbert space with Schwarz-Pick kernel ⋮ The Use of Kernel Functions in Solving the Pick Interpolation Problem ⋮ Spaces of Dirichlet series with the complete Pick property ⋮ The reproducing Kernel of the Sobolev space on an interval ⋮ On an analog of the Blaschke product for a Hilbert space with the Nevanlinna-Pick kernel ⋮ Densely defined multiplication on several Sobolev spaces of a single variable ⋮ Caratheodory interpolation kernels ⋮ Some solutions to the matrix equation for three point Nevanlinna-Pick interpolation on the bidisc ⋮ Operator algebras of idempotents ⋮ Matrix-valued interpolation and hyperconvex sets ⋮ For which reproducing kernel Hilbert spaces is Pick's theorem true! ⋮ Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras ⋮ An $H^p$ scale for complete Pick spaces ⋮ Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables ⋮ Interpolation problems in several variables ⋮ Complete Nevanlinna-Pick kernels ⋮ Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order ⋮ Commutant lifting on a two holded domain ⋮ Products of Nevanlinna-Pick kernels and operator colligations ⋮ Carathéodory interpolation on the non-commutative polydisk ⋮ A converse to a theorem of Adamyan, Arov and Krein ⋮ Subinner-free outer factorizations on an annulus
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