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

摘要

Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"orecurrence. Representation of the fundamental solution is obtained, inverseproblems on the interval and semi-axis are solved. A Borg-Marchenko type resultis obtained too. Connections with the block Toeplitz matrices are treated.