4 papers · 1 filter
One sided conformal collars and the reflection principle
V. Liontou, V. Nestoridis
If a Jordan curve σ has a one-sided conformal collar with "good" properties, then, using the Reflection principle, we show that any other conformal collar of σ from the same side h…
One valued primitives and the F. and M. Riesz theorem
V. Nestoridis
For a non-simply connected domain Omega in C and f a holomorphic function on Omega we prove that f admits one-valued primitives of any order in Omega, if and only if, it extends ho…
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…
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.…