A. Danielyan

activity

20152025

most citedOn the zero-free polynomial approximation problem

1 citations · 1 across the 8 of their papers we have counts for

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Showing 2015 · math.CVShow all

3 papers · 2 filters

math.CV2015

Fatou's interpolation theorem implies the Rudin-Carleson theorem

Arthur A. Danielyan

The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).

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…