Riemann problem and singular integral equations with coefficients generated by piecewise constant functions

Factorization of Functional Operators with Involutive Rotation on the Unit Circle

“…The advantages of the proposed approach are manifested when considering various applications. In [8] [9], we proved invertibility conditions for singular integral operators with a direct shift and for matrix characteristic operators with coefficients having an automorphic structure generated by piecewise constant functions.…”

On explicit inversion of a subclass of operators with D-difference kernels and Weyl theory of the corresponding canonical systems

“…Note also that the inversion of semiseparable matrices and operators is another interesting and actively developed theory, see [8,9] and bibliography in [30]. Some further possible applications are connected with the paper [17].…”