52 citations · 187 across the 38 of their papers we have counts for
41 papers
Sobolev norms of -solutions to NLS
Roman V. Bessonov, Sergey A. Denisov
We apply inverse spectral theory to study Sobolev norms of solutions to the nonlinear Schrodinger equation. For initial datum and , we prove t…
Spatial asymptotics of Green's function and applications
Sergey A. Denisov
We study the spatial asymptotics of Green's function for the 1d Schrodinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are…
Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality
Sergey A. Denisov, Maxim L. Yattselev
We study Jacobi matrices on trees whose coefficients are generated by multiple orthogonal polynomials. Hilbert space decomposition into an orthogonal sum of cyclic subspaces is obt…
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum
Alexander I. Aptekarev, Sergey A. Denisov, Maxim L. Yattselev
We continue studying the connection between Jacobi matrices defined on a tree and multiple orthogonal polynomials (MOPs) that was discovered previously by the authors. In this pape…
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…