spectral theory, almost periodic Schroedinger operators, asymptotic analysis, semiclassical approximations, analytic theory of difference equations on the complex plane
Main publications:
A. A. Fedotov, E. V. Shchetka, “Semiclassical Asymptotics of the Spectrum of the Subcritical Harper Operator”, Math. Notes, 104:6 (2018), 933–938
A. A. Fedotov, E. V. Shchetka, “Complex WKB method for the difference Schrödinger equation with the potential being a trigonometric polynomial”, St. Petersburg Math. J., 29:2 (2018), 363–381
A. A. Fedotov, E. V. Shchetka, “Complex WKB method for difference equations in bounded domains”, J. Math. Sci. (N. Y.), 224:1 (2017), 157–169
