The bitangential matrix Nevanlinna-Pick interpolation problem revisited

DOI10.1007/978-3-319-68849-7_5zbMath1471.47009arXiv1611.07097OpenAlexW2552396742MaRDI QIDQ1626067

Vladimir Bolotnikov, Joseph A. Ball

Publication date: 26 November 2018

Full work available at URL: https://arxiv.org/abs/1611.07097

zbMATH Keywords

Kolmogorov decompositionreproducing kernel Pontryagin spacebitangential Nevanlinna-Pick interpolationgeneralized Schur class and Kreĭn-Langer factorizationlinear-fractional parametrizationmaximal negative subspacepositive and indefinite kernels

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

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Interpolation in multivariable de Branges-Rovnyak spaces

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