155 citations · 278 across the 14 of their papers we have counts for
15 papers
Complete Non-Selfadjointness for Schrödinger Operators on the Semi-Axis
Christoph Fischbacher, Serguei Naboko, Ian Wood
In this note we investigate complete non-selfadjointness for all maximally dissipative extensions of a Schrödinger operator on a half-line with dissipative bounded potential and di…
Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case
Serguei Naboko, Sergey Simonov
We consider a class of Jacobi matrices with unbounded entries in the so called critical (double root, Jordan box) case. We prove a formula for the spectral density of the matrix wh…
Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique
Edmund Judge, Sergey Naboko, Ian Wood
For an arbitrary Hermitian period- Jacobi operator, we assume a perturbation by a Wigner-von Neumann type potential to devise subordinate solutions to the formal spectral equati…
On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces
Alexander V. Kiselev, Serguei Naboko
We prove an analogue to the Cayley identity for an arbitrary self-adjoint operator in a Hilbert space. We also provide two new ways to characterize vectors belonging to the singula…
Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case
Serguei Naboko, Sergey Simonov
We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic ("double root") situation. For the model with "non-smooth" matrix entries we ob…
The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum
Malcolm Brown, James Hinchcliffe, Marco Marletta +2
In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction…