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19992025
most citedPerfect control of reflection and refraction using spatially dispersive metasurfaces

566 citations

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7 papers · 1 filter

math.FA2023★ 3 cited

Algebras of Hausdorff Operators on the Real Line

E. Liflyand, A. Mirotin

The aim of this work is to derive a symbol calculus on for one-dimensional Hausdorff operators in apparently the most general form.

math.FA2021

Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc

A. R. Mirotin

We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Identity approximation by…

math.FA2020★ 3 cited

A Hausdorff Operator on Lebesgue Space With Commuting Perturbation Matrices Is a Non-Riesz Operator

A. R. Mirotin

We consider a generalization of Hausdorff operators on Lebesgue spaces and under natural conditions prove that such an operator is not a Riesz operator provided it is non-zero. In…

math.FA2019

Fredholm and spectral properties of Toeplitz operators on spaces over ordered groups

A. R. Mirotin

Toeplitz operators on spaces associated with compact connected Abelian group with ordered dual are considered and the generalization of the classical Go…

math.FA2019

Criteria for analyticity of subordinate semigroups

A. R. Mirotin

Let be a Bernstein function. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for to have a property that generates a quasibounded holomorphic sem…

math.FA2019

On the description of multidimensional normal Hausdorff operators on Lebesgue spaces

A. R. Mirotin

The main goal of this work is to examine the structure of normal Hausdorff operators on . We show that normal Hausdorff operator in is unitary equ…