On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II
DOI10.1016/j.cam.2010.08.019zbMath1203.47006OpenAlexW2091723681MaRDI QIDQ607250
Bernd Fritzsche, Bernd Kirstein, Andreas Lasarow
Publication date: 19 November 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.019
matrix moment problemmatricial Carathéodory functionsnonnegative Hermitian matrix measuresorthogonal rational matrix functionsSzegő parameters
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)
Related Items (3)
Cites Work
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- An indeterminate rational moment problem and Carathéodory functions
- Problem of search of the minimum of entropy in indeterminate extension problems
- Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processes
- Spectral integrals of operator-valued functions. II: From the study of stationary processes
- Moment problems and orthogonal functions
- A rational moment problem on the unit circle
- On a moment problem for rational matrix-valued functions.
- On Hilbert modules of rational matrix-valued functions and related inverse problems
- Infinite analogues of block Toeplitz matrices and related orthogonal functions
- On maximum entropy interpolants and maximum determinant completions of associated Pick matrices
- More on maximum entropy interpolants and maximum determinant completions of associated Pick matrices
- The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
- On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I
- Inequalities in Hilbert Modules of Matrix-Valued Functions
- Orthogonal polynomial matrices on the unit circle
- On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle
- Orthogonal rational matrix‐valued functions on the unit circle
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices. III
- Dual pairs of orthogonal systems of rational matrix-valued functions on the unit circle
- On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
- Orthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theorem
- Theory of Reproducing Kernels
- Determinacy of a rational moment problem
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