scientific article

From MaRDI portal
Publication:3995393

zbMath0754.47013MaRDI QIDQ3995393

Bernd Fritzsche, Bernd Kirstein, Vladimir Kirillovich Dubovoj

Publication date: 17 September 1992


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (98)

Coefficient stripping in the matricial Nehari problemCompletion problems and scattering problems for Dirac type differential equations with singularitiesOn block completion problems for \(j_{qq}-J_ q\)-inner functions. II: The case of a given \(q\times q\) blockOn an involution in the class of non-negative Hermitian matrix measures on a compact intervalCompletion problems for \(j_{pq}\)-inner functions. IIParametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type AlgorithmCarathéodory sequence parametrizations of Potapov-normalized full-rank \(J_ q\)-elementary factorsOn the truncated matricial Stieltjes moment problem \(\mathsf{M} [[\alpha, \infty);(s_j)_{j = 0}^m, \leq\)] ⋮ The Eneström-Kakeya theorem encounters the theory of orthogonal polynomials on the unit circleOn some interrelations between the generalized Nehari problem for the Carathéodory class and prediction theoryOn the operator-valued Nevanlinna-Pick problemThree-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problemComputation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate caseOn resolvent matrices for nondegenerate matricial Schur problemsOn Arov-normalized \(j_{qq}-J_q\)-elementary factorsUnnamed ItemOn the Szegő transformation for some spectral perturbations of matrix measuresA function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problemThe resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomialsSchur analysis of matricial Hausdorff moment sequencesSchur-Nevanlinna-Potapov sequences of rational matrix functionsOn a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. IIDual Szegő pairs of sequences of rational matrix-valued functionsOn truncated matricial Stieltjes type moment problemsOn an interpolation problem for J-Potapov functionsAn analysis of the block structure of certain subclasses of \(j_{qq}\)-inner functionsOn maximal weight solutions in a truncated trigonometric matrix moment problemExplicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problemOn the resolvent matrix of the truncated Hausdorff matrix moment problemSchur functions and their realizations in the slice hyperholomorphic settingMinimum \(w\)-entropy interpolants for matricial Carathéodory functions and maximum determinant completions of associated block Pick matrixSkew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problemsSchur parameters, Toeplitz matrices, and Kreĭn shorted operatorsOn a moment problem for rational matrix-valued functions.Matrix orthogonal polynomials associated with perturbations of block Toeplitz matricesMultivariate prediction and matrix Szegő theoryTransformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequencesExtremal problems for matrix-valued polynomials on the unit circle and applications to multivariate stationary sequences.On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomialsOn ranges and Moore-Penrose inverses related to matrix Carathéodory and Schur functionsShift operators contained in contractions, pseudocontinuable Schur functions and orthogonal systems on the unit circlePositive extension problems for a class of structured matrices.On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problemsOn resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequencesA Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment ProblemThe Schur problem and block operator CMV matricesOn the Weyl matrix balls associated with \(J\)-Potapov sequences in both nondegenerate and degenerate casesOn the Structure of Hausdorff Moment Sequences of Complex MatricesFrom the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problemThe Good Fortune of Maintaining a Long-Lasting Close Friendship and Scientific Collaboration with V. E. KatsnelsonOn Conditions of Complete Indeterminacy for the Matricial Hamburger Moment ProblemA Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing"On Arov-normalized \(j_{pq}\)-elementary factorsA block completion problem for matrix-valued inner functionsOn a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem II: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functionsOn a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem I: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of complex matricesTruncated Hamburger moment problem for an operator measure with compact supportStep-by-step solving of ordered interpolation problem for Stieltjes functionsQuantum recurrence of a subspace and operator-valued Schur functionsOperator identities corresponding to inverse problems for Dirac systemsInverse problems for positive Hermitian block Toeplitz matrices and nondegenerate Schur sequencesOn the sequences of the Weyl semi-radii associated with matricial Carathéodory and Schur sequences in both nondegenerate and degenerate casesOrthogonal rational matrix‐valued functions on the unit circleBasic classes of matrices with respect to quaternionic indefinite inner product spacesOn Hilbert modules of rational matrix-valued functions and related inverse problemsMore on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate caseSemiseparable integral operators and explicit solution of an inverse problem for a skew-self-adjoint Dirac-type systemA Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problemBoundary interpolation in the ballThe matricial Schur problem in both nondegenerate and degenerate casesA Schur Type Matrix Extension Problem. VINew ``Verblunsky-type coefficients of block Toeplitz and Hankel matrices and of corresponding Dirac and canonical systemsOn maximal weight solutions of two matricial moment problems in the nondegenerate caseCompletion problems for \(j_{pq}\)-inner functions. IOrthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theoremOn the structure of \(J\)-Potapov sequencesOn several types of resolvent matrices of nondegenerate matricial Carathéodory problemsOne-sided tangential interpolation for operator-valued Hardy functions on polydisksMatricial canonical moments and parametrization of matricial Hausdorff moment sequencesRepresentations of \(J\)-central \(J\)-Potapov functions in both nondegenerate and degenerate casesOn degenerate interpolation, entropy and extremal problems for matrix Schur functionsLarge deviations for random matricial moment problemsQuantum walks: Schur functions meet symmetry protected topological phasesSolution of a multiple Nevanlinna--Pick problem via orthogonal rational functionsParametrization of minimal rank block Hankel matrix extensions and minimal partial realizationsTensor algebras and displacement structure. II: Non-commutative Szegö polynomialsOn Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomialsSchur-sequence parametrizations of Potapov-normalized full-rank \(j_{pq}\)-elementary factorsCriterion for the complete indeterminacy of the Nevanlinna-Pick matrix problemOn matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomialsAn inverse entropy optimization problem for matrix-valued carathéodory functionsOn block completion problems for \(j_{qq}-J_ q\)-inner functions. I: The case of a given block columnOn block completion problems for Arov-normalized \(j_{qq}-J_{q}\)-elementary factorsExtremal solutions of matricial Carathéodory problem and Nevanlinna–Pick-type interpolation for Carathéodory matrix functions in the nondegenerate caseOn Canonical Solutions of a Moment Problem for Rational Matrix-valued FunctionsTensor algebras and displacement structure. I: The Schur algorithmOn rank invariance of generalized Schwarz--Pick--Potapov block matrices of matrix-valued Carathéodory functions




This page was built for publication: