8 citations · 41 across the 10 of their papers we have counts for
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On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients
Inna Roitberg, Alexander Sakhnovich
The results on the inversion of convolution operators as well as Toeplitz (and block Toeplitz) matrices in the -D (one-dimensional) case are classical and have numerous applicat…
Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
A non-classical Weyl theory is developed for skew-self-adjoint Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and direct and invers…
Recovery of Dirac system from the rectangular Weyl matrix function
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
Weyl theory for Dirac systems with rectangular matrix potentials is non-classical. The corresponding Weyl functions are rectangular matrix functions. Furthermore, they are non-expa…
Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
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 se…