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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.SP2022
On spectra of convolution operators with potentials
Denis I. Borisov, Andrey L. Piatnitski, Elena A. Zhizhina
This paper focuses on the spectral properties of a bounded self-adjoint operator in $L_2(\mathds R^d)$ being the sum of a convolution operator with an integrable convolution kernel…