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math.CV2019★ 2 cited
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…
math.CV2019
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…
math.CV2019
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…