57 citations · 166 across the 18 of their papers we have counts for
Showing math.SPShow all
3 papers · 1 filter
math.SP2020★ 3 cited
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
We develop a comprehensive theory of reflectionless canonical systems with an arbitrary Dirichlet-regular Widom spectrum with the Direct Cauchy Theorem property. This generalizes,…
math.SP2020★ 5 cited
Reflectionless canonical systems, I. Arov gauge and right limits
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
In spectral theory, -monotonic families of matrix functions appear as transfer matrices of many one-dimensional operators. We present a general theory of such famili…
math.SP2018★ 10 cited
Szego condition and scattering for one-dimensional Dirac operators
R. V. Bessonov
We prove existence of modified wave operators for one-dimensional Dirac operators whose spectral measures belong to the Szego class on the real line.