9 citations · 9 across the 3 of their papers we have counts for
3 papers
math.FA2026
Nonlocal convolution type functionals and related Orlicz spaces
Denis Borisov, Andrey Piatnitski
In the paper we introduce Orlicz type functional spaces defined in terms of nonlocal convolution type integral functionals and study the main properties of these spaces. We show in…
math.SP2023
Non-local convolution type operators with potential: essential and infinite discrete spectrum
Denis Borisov, Andrey Piatnitski, Elena Zhizhina
The goal of this note is to study the spectrum of a self-adjoint convolution operator in with an integrable kernel that is perturbed by an essentially bounded re…
math-ph2020★ 9 cited
Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations
D. I. Borisov, D. A. Zezyulin, M. Znojil
We consider the operator subject to the Dirichlet or Robin condition, where a dom…