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math-ph2020
Inverse resonance scattering for massless Dirac operators on the real line
Evgeny Korotyaev, Dmitrii Mokeev
We consider massless Dirac operators on the real line with compactly supported potentials. We solve two inverse problems (including characterization): in terms of zeros of reflecti…
math-ph2020
Hill's operators with the potentials analytically dependent on energy
Andrey Badanin, Evgeny L. Korotyaev
We consider Schrödinger operators on the line with potentials that are periodic with respect to the coordinate variable and real analytic with respect to the energy variable. We pr…
math-ph2020
Inverse resonance scattering for Dirac operators on the half-line
Evgeny Korotyaev, Dmitrii Mokeev
We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including…