52 citations · 187 across the 38 of their papers we have counts for
4 papers · 1 filter
Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials
Roman Bessonov, Sergey Denisov
Let be a measure from Szegő class on the unit circle and let be the family of Schur functions generated by . In this paper, we prove a version of the c…
Continuity of weighted operators, Muckenhoupt weights, and Steklov problem for orthogonal polynomials
Michel Alexis, Alexander Aptekarev, Sergey Denisov
We consider weighted operators acting on and show that they depend continuously on the weight in the operator topology. Then, we use th…
Generalizations of Menchov-Rademacher theorem and existence of wave operators in Schrodinger evolution
Sergey Denisov, Liban Mohamed
We obtain generalizations of the classical Menchov-Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave o…
De Branges canonical systems with finite logarithmic integral
Roman Bessonov, Sergey Denisov
Krein-de Branges spectral theory establishes a correspondence between the class of differential operators called canonical Hamiltonian systems and measures on the real line with fi…