Weyl matrix functions and inverse problems for discrete Dirac type self - adjoint system : explicit and general solutions
نویسندگان
چکیده
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 semiaxis are solved. A Borg-Marchenko type result is obtained too. Connections with the block Toeplitz matrices are treated.
منابع مشابه
Skew-self-adjoint discrete and continuous Dirac type systems: inverse problems and Borg-Marchenko theorems
New formulas on the inverse problem for the continuous skewself-adjoint Dirac type system are obtained. For the discrete skewself-adjoint Dirac type system the solution of a general type inverse spectral problem is also derived in terms of the Weyl functions. The description of the Weyl functions on the interval is given. BorgMarchenko type uniqueness theorems are derived for both discrete and ...
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