The transformation of Issai Schur and related topics in an indefinite setting

zbMath1128.47015MaRDI QIDQ3592285

Daniel Alpay, Heinz K. Langer, Aalt Dijksma

Publication date: 12 September 2007

zbMATH Keywords

reproducing kernelPick matrixPontryagin spaceSchur transformminimal factorization

Mathematics Subject Classification ID

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) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (11)

Boundary Triplets, Weyl Functions, and the Kreĭn Formula ⋮ Schur Analysis in an Indefinite Setting ⋮ Reproducing kernel almost Pontryagin spaces ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ On Szegő's theorem for a nonclassical case ⋮ Asymptotics for polynomials orthogonal in an indefinite metric ⋮ A Schur transformation for functions in a general class of domains ⋮ Darboux transformations of Jacobi matrices and Padé approximation ⋮ Inverse problems for periodic generalized Jacobi matrices ⋮ Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation ⋮ Truncations of a class of pseudo-Hermitian tridiagonal matrices

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