Banded matrices and their orthogonality
DOI10.1090/CONM/807/16163MaRDI QIDQ6649502
A. Branquinho, Ana Foulquié Moreno, Manuel Mañas
Publication date: 6 December 2024
totally nonnegative matricesoscillatory matricesFavard spectral representationbounded banded matricesmixed multiple orthogonal polynomials
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) 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) Other special orthogonal polynomials and functions (33C47) Linear difference operators (47B39) Stochastic processes (60Gxx)
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- Matrix continued fractions
- Algebraic aspects of matrix orthogonality for vector polynomials
- Some spectral properties of infinite band matrices
- The genetic sums' representation for the moments of a system of Stieltjes functions and its application
- Matrix Hermite-Padé problem and dynamical systems
- The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
- Operator Theory
- Complex Jacobi matrices
- Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
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