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math.CV2020
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…
math.CV2020
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…