THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
From MaRDI portal
Publication:3222493
DOI10.1070/SM1984v049n02ABEH002713zbMath0557.34017MaRDI QIDQ3222493
Alexander I. Aptekarev, E. M. Nikishin
Publication date: 1984
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Related Items
Differential coefficients of orthogonal matrix polynomials, Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices, On the Absolutely Continuous Spectrum of Dirac Operator, Deficiency indices of block Jacobi matrices and Miura transformation, Riemann-Hilbert Problems, Matrix Orthogonal Polynomials and Discrete Matrix Equations with Singularity Confinement, Orthogonal matrix polynomials and higher-order recurrence relations, CMV matrices: Five years after, Weak convergence of orthogonal polynomials, An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line, Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case, On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems, Riemann-Hilbert problem and matrix biorthogonal polynomials, On the Szegő transformation for some spectral perturbations of matrix measures, Matrix inner product having a matrix symmetric second-order differential operator, Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations, On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems, Inverse resonance problem for Jacobi operators on a half-lattice, Matrix-valued Gegenbauer-type polynomials, Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective, On Conditions of Complete Indeterminacy for the Matricial Hamburger Moment Problem, Determinants of block tridiagonal matrices, Random block matrices and matrix orthogonal polynomials, Geometry of Weyl theory for Jacobi matrices with matrix entries, Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients, On matrix integration of matrix polynomials, Discrete orthogonal matrix polynomials, Perturbations in the Nevai matrix class of orthogonal matrix polynomials, Matrix Chebyshev polynomials and continued fractions, The two-periodic Aztec diamond and matrix valued orthogonal polynomials, On a Christoffel transformation for matrix measures supported on the unit circle, A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line, \(N\)-extremal matrices of measures for an indeterminate matrix moment problem, Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice, Matrix biorthogonal polynomials on the real line: Geronimus transformations, Multiple orthogonal polynomials, Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators, Relative asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients, Weak convergence for orthogonal matrix polynomials, Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators
