On operator estimates in homogenization of non-local operators of convolution type

A. Piatnitski, V. Sloushch, T. Suslina +1

The paper studies a bounded symmetric operator ${\mathbf{A}}_{\epsilon }$ in $L_2({\mathbf{R}}^d)$ with $$ ({\mathbf{A}}_\varepsilon u) (x) = \varepsilon^{-d-2} \int_{\mathbf{R}^d} a…