A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem

DOI10.1007/BF01195876zbMath0897.30016OpenAlexW2065874123MaRDI QIDQ1378132

Bernd Fritzsche, Bernd Kirstein, Damir Z. Arov

Publication date: 19 October 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195876

zbMATH Keywords

Nehari problemresolvent matrixcompletely indeterminate

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

Coefficient stripping in the matricial Nehari problem ⋮ Matricial Nehari problems, \(J\)-inner matrix functions and the Muckenhoupt condition

Cites Work

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• Linear fractional transformations in rings and modules
• On bounded bilinear forms
• A Nehari type problem for matricial Schur functions
• Generalized Toeplitz kernels, stationarity and harmonizability
• Shift invariant spaces and prediction theory
• The commutant lifting approach to interpolation problems
• Boundary values of a convergent sequence of J-contractive matrix- functions
• On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions
• On spectral factorization and generalized Nehari problems
• On some interrelations between the generalized Nehari problem for the Carathéodory class and prediction theory
• Metric constrained interpolation, commutant lifting and systems
• Completion problems for \(j_{pq}\)-inner functions. I
• Hamburger moment problem: Parseval equality and \(A\)-singularity
• Singularities of analytic foliations and characteristic classes
• On regularization of \(\gamma\)-generating pairs
• Unitary colligations and parametrization formulas
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• A Schur Type Matrix Extension Problem
• A Schur Type Matrix Extension Problem, II
• Lossless chain scattering matrices and optimum linear prediction: The vector case
• On WSN functions and a theorem of R. Nevanlinna concerning bounded analytic functions
• A Stochastic Characterization of Arov‐completable Matrix‐valued Schur Functions
• Generalized Interpolation in H ∞
• Bounded and Compact Vectorial Hankel Operators
• On unitary couplings of semiunitary operators