On the zeros of some continuous analogues of matrix orthogonal polynomials and a related extension problem with negative squares

DOI10.1002/cpa.3160470205zbMath0819.47013OpenAlexW2090749741MaRDI QIDQ4291725

Publication date: 1994

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160470205

zbMATH Keywords

reproducing kernel reproducing kernel Pontryagin space Christoffel-Darboux type formula matrix valued entire function of exponential type vector valued entire functions of exponential type

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (7)

On invertibility of nonsquare generalized Bezoutians ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case ⋮ On three Klein extension problems and some generalizations ⋮ Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ The inverse problem for orthogonal Krein matrix functions ⋮ Trace formulas for a class of vector-valued Wiener-Hopf like operators. I

Cites Work

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