Degenerate interpolation problems for Nevanlinna pairs

DOI10.1016/0019-3577(91)90005-RzbMath0733.47014MaRDI QIDQ809334

Piet Bruinsma

Publication date: 1991

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

de Branges theory of Hilbert spaces of analytic functionsinterpolation problems for equivalence classes of pairs of matrix functions of the extended Nevanlinna classKrein-Langer theory of extensions of symmetric operatorslinear fractional description for the set of all solutions in the optimal casePick matrix may be singular

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (9)

Multiple point interpolation in Nevanlinna classes ⋮ Selfadjoint extensions of symmetric operators in degenerated inner product spaces ⋮ Schur-Nevanlinna-Potapov sequences of rational matrix functions ⋮ On an interpolation problem for J-Potapov functions ⋮ Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II ⋮ Recursive exact \(H_{\infty }\)-identification from impulse-response measurements ⋮ The matricial Schur problem in both nondegenerate and degenerate cases ⋮ On degenerate interpolation, entropy and extremal problems for matrix Schur functions ⋮ Carathéodory - Fejér Problem for Pairs of Meromorphic Functions

Cites Work

• Local inverse spectral problems for rational matrix functions
• Fast projection methods for minimal design problems in linear system theory
• L-resolvent matrices of symmetric linear relations with equal defect numbers; applications to canonical differential relations
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
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