Szegő type limit theorems for multidimensional discrete convolution operators with continuous symbols (Q5944778)

The author considers multidimensional discrete convolution operators in \(l_2(\mathbb{Z}^n)\) with continuous symbols and obtains some multidimensional analogous of the Szegö limit theorem. The extension to the case of so-called dilations of domains \(D\) is also given under the assumption that \(D\) is Jordan measurable and has positive volume.