3 citations · 3 across the 5 of their papers we have counts for
6 papers
On Toeplitz operators on compact Abelian groups and discrete Wiener--Hopf operators
Adolf Mirotin
This paper introduces the concept of a rotation number for a continuous, non-degenerate two-dimensional vector field (a zero-free complex-valued function) on a compact connected Ab…
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…
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…
Functions of continuous Cesáro operators
Adolf Mirotin
We describe holomorphic functions and fractional powers of Cesáro operators in , , and . Logarithms of Cesáro operators are introduced…
-Hankel Operators on Compact Abelian Groups
A. R. Mirotin
-Hankel operators between separable Hilbert spaces were introduced and studied recently (\textit{-Hankel operators on Hilbert spaces}, Opuscula Math., \textbf{41} (2021),…
Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups
A. R. Mirotin
The aim of this note is to give the boundedness conditions for Hausdorff operators on Hardy spaces with the norm defined via atoms over homogeneous spaces of Lie gr…