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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.SP2022
Dirac operators with exponentially decaying entropy
Pavel Gubkin
We prove that the Weyl function of the one-dimensional Dirac operator on the half-line with exponentially decaying entropy extends meromorphically into the horizonta…
math.SP2020
Mate-Nevai-Totik theorem for Krein systems
Pavel Gubkin
We prove the Cesàro boundedness of eigenfunctions of the Dirac operator on the half-line with a square-summable potential. The proof is based on the theory of Krein systems and, in…