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

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

2007-03-13

arxiv.org/abs/math/0703369v1

Oper. Matrices 2 (2008) 201-231

Mathematics

Classical Analysis and ODEs

Scientific paper

Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"o
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.

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