26 citations · 75 across the 43 of their papers we have counts for
4 papers · 2 filters
On a general concept of a Hausdorff-type operator
A. R. Mirotin
A unified approach to the concept of a Hausdorff operator is proposed in such a way that a number of classical and new operators feet into the given definition. Conditions are give…
On the symbol calculus for multidimensional Hausdorff operators
E. Liflyand, A. Mirotin
The aim of this work is to derive a symbol calculus on for multidimensional Hausdorff operators. Two aspects of this activity result in two almost independent p…
On the spectra of multidimensional normal discrete Hausdorff operators
A. R. Mirotin
In the paper the general case of a normal discrete Hausdorff operators in is considered. The main result states that under some natural arithmetic condition the…
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.