For which reproducing kernel Hilbert spaces is Pick's theorem true!
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Publication:1804051
DOI10.1007/BF01358955zbMath0779.30026MaRDI QIDQ1804051
Publication date: 29 June 1993
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Dilations, extensions, compressions of linear operators (47A20) 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)
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Cites Work
- On bounded holomorphic interpolation in several variables
- On a quotient norm and the Sz.-Nagy-Foias lifting theorem
- Nevanlinna-Pick Interpolation on Sobolev Space
- Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions
- Matrix Analysis
- Generalized Interpolation in H ∞
- Theory of Reproducing Kernels
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