11 citations · 19 across the 4 of their papers we have counts for
4 papers
Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
B. Fritzsche, B. Kirstein, I. Roitberg +1
A transfer matrix function representation of the fundamental solution of the general-type discrete Dirac system, corresponding to rectangular Schur coefficients and Weyl functions,…
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…
Operator identities corresponding to inverse problems
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
The structured operators and corresponding operator identities, which appear in inverse problems for the self-adjoint and skew-self-adjoint Dirac systems with rectangular potential…
Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation
B. Fritzsche, B. Kirstein, A. L. Sakhnovich
Self-adjoint Dirac systems and subclasses of canonical systems, which generalize Dirac systems are studied. Explicit and global solutions of direct and inverse problems are obtaine…