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math.CV2021
On the Dirichlet problem in the plane with polynomial data
Akaki Tikaradze
Let be a bounded domain such that there exists an algebraic harmonic function of degree two vanishing on the boundary of Then we show that the Khavinson-S…
math.QA2021
Noncommutative Noether's problem is almost equivalent to the classical Noether's problem
Akaki Tikaradze
Motivated by the classical Noether's problem, J. Alev and F. Dumas proposed the following question, commonly referred to as the noncommutative Noether's problem: Let a finite group…
math.FA2021★ 7 cited
A generalization of the Brown-Halmos theorems for the unit ball
Trieu Le, Akaki Tikaradze
In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex vari…