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math.CV2014
Conformal extensions of functions defined on arbitrary subsets of Riemann surfaces
P. M. Gauthier, V. Nestoridis
For a function defined on an arbitrary subset of a Riemann surface, we give conditions which allow the function to be extended conformally. One folkloric consequence is that two co…
math.CV2014
Density of polynomials in classes of functions on products of planar domains
P. M. Gauthier, V. Nestoridis
We give sufficient conditions on planar domains for polynomials to be dense in the algebras A and A-infinity of the product of these domains, endowed with their natural topologies.…