Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices
DOI10.3103/S1066369X17120076zbMath1396.15018OpenAlexW2770013842MaRDI QIDQ1703184
L. E. Garza Gaona, Abdon Eddy Choque Rivero
Publication date: 1 March 2018
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x17120076
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Matrices over function rings in one or more variables (15A54) Toeplitz, Cauchy, and related matrices (15B05)
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Cites Work
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- The resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomials
- On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials
- Perturbations on the subdiagonals of Toeplitz matrices
- Perturbations on the antidiagonals of Hankel matrices
- On a class of matrix orthogonal polynomials on the real line
- Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)]
- Rational spectral transformations and orthogonal polynomials
- Matrix valued Jacobi polynomials
- A class of matrix orthogonal polynomials on the unit circle
- Orthogonal matrix polynomials and applications
- On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials
- On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials
- Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem
- Markov's Theorem for Orthogonal Matrix Polynomials
- Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
- ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
- The Analytic Theory of Matrix Orthogonal Polynomials
- Matrix Valued Orthogonal Polynomials on the Unit Circle: Some Extensions of the Classical Theory
- Orthogonal polynomial matrices on the unit circle
- Spectral transformations, self-similar reductions and orthogonal polynomials
- An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices. III
- Matrix orthogonal polynomials on the unit circle
- J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS
- On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
- Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations
- Moment perturbation of matrix polynomials
- Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)
- Quasi-definiteness of generalized Uvarov transforms of moment functionals
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