12 research outputs found
Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data
Full text linkWe develop direct and inverse scattering theory for Jacobi operators (doubly
infinite second order difference operators) with steplike coefficients which
are asymptotically close to different finite-gap quasi-periodic coefficients on
different sides. We give necessary and sufficient conditions for the scattering
data in the case of perturbations with finite second (or higher) moment.Comment: 23 page
Reconstruction of the Sturm–Liouville Operator with Nonseparated Boundary Conditions and a Spectral Parameter in the Boundary Condition
No full textInverse spectral problem for Dirac operator with discontinuous coefficient and polynomials in boundary condition
No full text
