188 citations · 327 across the 48 of their papers we have counts for
57 papers
Unbounded integral Hankel operators
Alexander Pushnitski, Sergei Treil
For a wide class of unbounded integral Hankel operators on the positive half-line, we prove essential self-adjointness on the set of smooth compactly supported functions.
A functional model and tridiagonalisation for symmetric anti-linear operators
Alexander Pushnitski, František Štampach
We consider the class of bounded symmetric anti-linear operators with a cyclic vector. We associate with the spectral data consisting of a probability measure and a functio…
Eigenvalue clusters for the hemisphere Laplacian with variable Robin condition
Alexander Pushnitski, Igor Wigman
We study the eigenvalue clusters of the Robin Laplacian on the 2-dimensional hemisphere with a variable Robin coefficient on the equator. The 'th cluster has eigenva…
The cubic Szegő equation on the real line: explicit formula and well-posedness on the Hardy class
Patrick Gérard, Alexander Pushnitski
We establish an explicit formula for the solution of the the cubic Szegő equation on the real line. Using this formula, we prove that the evolution flow of this equation can be con…
Hankel operators with band spectra and elliptic functions
Alexander Pushnitski, Alexander Sobolev
We consider the class of bounded self-adjoint Hankel operators , realised as integral operators on the positive semi-axis, that commute with dilations by a fixed factor.…
An inverse spectral problem for non-self-adjoint Jacobi matrices
Alexander Pushnitski, František Štampach
We consider the class of bounded symmetric Jacobi matrices with positive off-diagonal elements and complex diagonal elements. With each matrix from this class, we associate…