33 citations · 85 across the 28 of their papers we have counts for
4 papers · 1 filter
Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation
Laurent Baratchart, Yannick Fischer, Juliette Leblond
We study Hardy spaces of the conjugate Beltrami equation over Dini-smooth finitely connected domains, for real contractive $ν\in W^{1,r…
Weighted Extremal Domains and Best Rational Approximation
Laurent Baratchart, Herbert Stahl, Maxim Yattselev
Let f be holomorphically continuable over the complex plane except for finitely many branch points contained in the unit disk. We prove that best rational approximants to f of degr…
Minimal symmetric Darlington synthesis
Laurent Baratchart, Per Enqvist, Andrea Gombani +1
We consider the symmetric Darlington synthesis of a p x p rational symmetric Schur function S with the constraint that the extension is of size 2p x 2p. Under the assumption that S…
Asymptotics of Padé approximants to a certain class of elliptic-type functions
Laurent Baratchart, Maxim Yattselev
In this paper we investigate the question of uniform convergence of Padé approximants to elliptic functions that can be represented as Cauchy integrals of Dini-continuous non-vanis…