Arthur A. Danielyan

most citedOn the zero-free polynomial approximation problem

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2016

Radial limits and boundary uniqueness

Arthur A. Danielyan

The paper sheds a new light on the fundamental theorems of complex analysis due to P. Fatou, F. and M. Riesz, N. N. Lusin, I. I. Privalov, and A. Beurling. Only classical tools ava…

math.CV2015★ 1 cited

On the zero-free polynomial approximation problem

Arthur A. Danielyan

Let $E$ be a compact set in $C$ with connected complement, and let $A (E)$ be the class of all complex continuous function on $E$ that are analytic in the interior $E^{0}$ of…

math.CV2015

Weak-star convergence and a polynomial approximation problem

Arthur A. Danielyan

Let $E$ be an arbitrary subset of the unit circle $T$ and let $f$ be a function defined on $E$ . When there exist polynomials $P_{n}$ which are uniformly bounded by a number $M > 0$ o…