3 papers
math.CV2026
Christoffel functions of measures on the real line with divergent logarithmic integral
Pavel Gubkin
Let be a Poisson-finite measure on the real line. If its logarithmic integral diverges, then the functions from the classical Hardy space with compactly supported Fourier…
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…