8 citations · 48 across the 29 of their papers we have counts for
4 papers · 2 filters
Spherical arc-length as a global conformal parameter for analytic curves in the Riemann sphere
Paul Gauthier, Vassili Nestoridis, Athanase Papadopoulos
We prove that for every analytic curve in the complex plane, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the 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…
Dirichlet approximation and universal Dirichlet series
Richard Aron, Frédéric Bayart, Paul Gauthier +2
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance a…
One sided extendability and p-continuous analytic capacities
E. Bolkas, V. Nestoridis, C. Panagiotis +1
Using complex methods combined with Baire's Theorem we show that one-sided extendability, extendability and real analyticity are rare phenomena on various spaces of functions in th…