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math.SP2024
Krein systems with oscillating potentials
Pavel Gubkin
We prove that mean decay of the coefficient of Krein system is equivalent to the mean decay of the Fourier transform of its Szegő function.
math.SP2024
Stability of Schur's iterates and fast solution of the discrete integrable NLS
R. V. Bessonov, P. V. Gubkin
We prove a sharp stability estimate for Schur iterates of contractive analytic functions in the open unit disk. We then apply this result in the setting of the inverse scattering a…