Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions

Abstract

Discrete Dirac type self-adjoint system is equivalent to the block Szegö recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and semi-axis are solved. A Borg-Marchenko type result is obtained too. Connections with the block Toeplitz matrices are treated.

References in corpus (2)

• Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
• Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy

Cited by in corpus (2)

• Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
• General-type discrete self-adjoint Dirac systems: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and stability of solving inverse problem