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math.SP2026
Resonances sets of Schrödinger operators
Yurii Belov, Pavel Gubkin
We prove that resonances of the Schrödinger operator with compactly supported potential can contain arbitrary subset of the angle that sati…
math.SP2025
Direct and inverse spectral continuity for Dirac operators
Roman Bessonov, Pavel Gubkin
The half-line Dirac operators with -potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials g…
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 SzegÅ function.