A. Mirotin

activity

20242026

collaborators

4 papers

math.FA2026

Hausdorff Operators on de Branges Spaces and Paley-Wiener spaces

A. R. Mirotin

For a class of de Branges spaces containing polynomials, sufficient and necessary conditions are given for the boundedness and compactness of the Hausdorff operators under consider…

math.FA2025

On Wiener-Hopf operators over linearly ordered diskrete Abelian groups

Adolf Mirotin

Let $X$ denotes a discrete linearly ordered Abelian group, and let $X_{+}$ be the positive cone in $X$ . In this note we compute the Fredholm index and study spectral properties of Wi…

math.FA2025

On a unique two-dimensional integral operator homogeneous with respect to all orientation preserving linear transformations

Zhirayr Avetisyan, Alexey Karapetyants, Adolf Mirotin

In this paper, we consider a two-dimensional operator with an antisymmetric integral kernel, recently introduced by Z. Avetisyan and A. Karapetyants in connection to the study of g…

math.FA2024

Functions of continuous Cesáro operators

Adolf Mirotin

We describe holomorphic functions and fractional powers of Cesáro operators in $L^{2} (R)$ , $L^{2} (R_{+})$ , and $L^{2} [0, 1]$ . Logarithms of Cesáro operators are introduced…