52 citations · 97 across the 13 of their papers we have counts for
7 papers · 1 filter
Functional model for generalised resolvents and its application to time-dispersive media
Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko
Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, which have involved effective descriptions involving…
On spectral properties of compact Toeplitz operators on Bergman space with logarithmically decaying symbol and applications to banded matrices
Mahamet Koita, Stanislas Kupin, Sergey Naboko +1
Let be the space of measurable square-summable functions on the unit disk. Let be the Bergman space, i.e., the (closed) subspace of analytic functions in $L^2(D…
Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach
Edmund Judge, Sergey Naboko, Ian Wood
We consider the problem of embedding eigenvalues into the essential spectrum of periodic Jacobi operators, using an oscillating, decreasing potential. To do this we employ a geomet…
Donoghue-Type -Functions for Schrödinger Operators with Operator-Valued Potentials
Fritz Gesztesy, Sergey N. Naboko, Rudi Weikard +1
Given a complex, separable Hilbert space , we consider self-adjoint -realizations of differential expressions , on half-li…
Spectral gap for quantum graphs and their connectivity
Pavel Kurasov, Gabriela Malenova, Sergey Naboko
The spectral gap for Laplace operators on metric graphs is investigated in relation to graph's connectivity, in particular what happens if an edge is added to (or deleted from) a g…
Zeroes of the spectral density of the periodic Schroedinger operator with Wigner-von Neumann potential
Sergey Naboko, Sergey Simonov
We consider the Schroedinger operator L_α on the half-line with a periodic background potential and the Wigner-von Neumann potential of Coulomb type: csin(2ωx+d)/(x+1). It is known…