5 citations · 15 across the 5 of their papers we have counts for
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Sets of uniqueness for uniform limits of polynomials in several complex variables
K. Makridis, V. Nestoridis
We investigate the sets of uniform limits , of polynomials on the closed unit ball of and on the cartesian product $\bar{D}^…
Universal Taylor Series On Convex Subsets Of $\Mathbb{C}^{N}$
Nicholas J. Daras, Vassili Nestoridis
We prove the existence of holomorphic functions defined on any open convex subset , whose partial sums of the Taylor developments approximate unif…
Padé Approximants, density of rational functions in $\bbb{A^\infty(\OO)}$ and smoothness of the integration operator
Vassili Nestoridis, Ilias Zadik
First we establish some generic universalities for Padé approximants in the closure $X^\infty(\OO)$ in $A^\infty(\OO)$ of all rational functions with poles off $\oO$, the closure t…
A Remark on Two Extensions of the Disc Algebra and Mergelyan's Theorem
V. Nestoridis, I. Papadoperakis
We investigate the set of uniform limits of polynomials on any closed Jordan domain with respect to the chordal metric on . We conclude that Mergelya…
Universal Padé Approximation
Nicholas J. Daras, Vassili Nestoridis
In transferring some results from universal Taylor series to the case of Padé approximants we obtain stronger results, such as, universal approximation on compact sets of arbitrary…