8 citations · 48 across the 29 of their papers we have counts for
27 papers · 1 filter
Generic versions of a result in the theory of Hardy spaces
Vassili Nestoridis, Efstratios Thirios
For 0<p<1 and f a function in the Hardy space of order p its primitive belongs to the Hardy space q=p/1-p. We show that generically the primitive does not belong, even not locally,…
Universal Taylor Series in several variables depending on parameters
Giorgos Gavrilopoulos, Konstantinos Maronikolakis, Vassili Nestoridis
We establish generic existence of Universal Taylor Series on products of planar simply connected domains where the universal approximation holds on products $K…
Approximation on compact sets of functions and all derivatives
Sotiris Armeniakos, Giorgos Kotsovolis, Vassili Nestoridis
In Mergelyan type approximation we uniformly approximate functions on compact sets K by polynomials or rational functions or holomorphic functions on varying open sets containing K…
Universal Taylor Series on products of planar domains
K. Kioulafa, G. Kotsovolis, V. Nestoridis
Using a recent Mergelyan type theorem for products of planar compact sets we establish generic existence of Universal Taylor Series on products of planar simply connected domains O…
An extension of the universal power series of Seleznev
Konstantinos Maronikolakis, Vassili Nestoridis
We show generic existence of power series a with complex coefficients a_n, such that the sequence of partial sums of a new power series where its coefficients b_n are functions of…
A function algebra providing new Mergelyan type theorems in several complex variables
Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1
For compact sets , we introduce a subalgebra of , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…