We study the sequence of finite truncations of a generalized discrete convolution operator, which have matrices of the form
where is some function defined on , is defined on and , as . For this sequence we get a generalization of the Szeg\"o limit theorem.
Cite this article
Igor B. Simonenko, Olga N. Zabroda, Finite Truncations of Generalized One-Dimensional Discrete Convolution Operators and Asymptotic Behavior of the Spectrum. The Matrix Case. Z. Anal. Anwend. 24 (2005), no. 2, pp. 251–275DOI 10.4171/ZAA/1239