52 citations · 97 across the 13 of their papers we have counts for
16 papers
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…
Green matrix estimates of block Jacobi matrices II: Bounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the…
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…
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev +1
A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates hom…
Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of t…