Dual Szegő pairs of sequences of rational matrix-valued functions
From MaRDI portal
Publication:884216
DOI10.1155/IJMMS/2006/23723zbMath1121.42016MaRDI QIDQ884216
Publication date: 13 June 2007
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/53455
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)
Related Items (6)
Matrix functions nonregular on the convex hull of the spectrum ⋮ Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ Schur-Nevanlinna-Potapov sequences of rational matrix functions ⋮ Exponential stability criteria for nonautonomous difference systems ⋮ Norm estimates for functions of matrices with simple spectrum ⋮ Estimates for entries of matrix valued functions of infinite matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
- The commutant lifting approach to interpolation problems
- Solution of a multiple Nevanlinna--Pick problem via orthogonal rational functions
- On rank invariance of Schwarz-Pick-Potapov block matrices of matricial Schur functions
- Orthogonal matrix polynomials and applications
- The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
- Discrete and continuous boundary problems
- On the trigonometric moment problem
- Schur Parametrization of Positive Definite Block-Toeplitz Systems
- Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices, IV
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices
- An Extension Problem for Non-negative Hermitian Block Toeplitz Matrices. II
- Orthogonal polynomials
- Orthogonal polynomial matrices on the unit circle
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices, V
- On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle
- ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
- Orthogonal rational matrix‐valued functions on the unit circle
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices. III
- An inverse entropy optimization problem for matrix-valued carathéodory functions
- Matrix-valued nevanlinna-pick interpolation with complexity constraint: an optimization approach
- Orthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theorem
This page was built for publication: Dual Szegő pairs of sequences of rational matrix-valued functions
