Pick interpolation in several variables

DOI10.1090/S0002-9939-2013-11571-6zbMath1276.47017arXiv1110.0445MaRDI QIDQ2838966

Ryan Hamilton

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0445

zbMATH Keywords

reproducing kernelPick interpolationdual algebras

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (4)

The three-point Pick–Nevanlinna interpolation problem on the polydisc ⋮ Nevanlinna-Pick interpolation on distinguished varieties in the bidisk ⋮ Nevanlinna-Pick interpolation problem in the ball ⋮ Pick interpolation on the polydisc: small families of sufficient kernels

Cites Work

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• Nevanlinna-Pick interpolation and factorization of linear functionals
• The algebra of multiplication operators on Bergman spaces
• The Pick interpolation theorem for finitely connected domains
• Pick conditions on a uniform algebra and von Neumann inequalities
• Nevanlinna-Pick type interpolation in a dual algebra
• Nevanlinna-Pick interpolation on the bidisk
• A Factorization Theorem for Multiplier Algebras of Reproducing Kernel Hilbert Spaces
• Some Remarks on the Toeplitz Corona problem

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