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math.SP2018★ 3 cited
Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
We consider the cases of the self-adjoint and skew-self-adjoint discrete Dirac systems, obtain explicit expressions for reflection coefficients and show that rational reflection co…
math.SP2018★ 3 cited
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
I. Ya. Roitberg, A. L. Sakhnovich
We consider discrete self-adjoint Dirac systems determined by the potentials (sequences) such that the matrices are positive definite and -unitary, where is…