Affiliation:
1. Department of Mathematics and Programming Technologies Francisk Skorina Gomel State University Gomel Belarus
2. Regional Mathematical Center Southern Federal University Rostov‐on‐Don Russia
Abstract
In this paper, the general case of normal discrete Hausdorff operators in
is studied. The main result states that under some natural arithmetic condition, the spectrum of such an operator is rotationally invariant. Several special cases and applications are considered.
Funder
Ministry of Science and Higher Education of the Russian Federation