51 citations · 98 across the 40 of their papers we have counts for
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math.CA2009
Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights
Laurent Baratchart, Maxim Yattselev
We design convergent multipoint Pade interpolation schemes to Cauchy transforms of non-vanishing complex densities with respect to Jacobi-type weights on analytic arcs, under mild…
math.CA2009
Asymptotic Uniqueness of Best Rational Approximants to Complex Cauchy Transforms in of the Circle
Laurent Baratchart, Maxim Yattselev
For all n large enough, we show uniqueness of a critical point in best rational approximation of degree n, in the L^2-sense on the unit circle, to functions f, where f is a sum of…
math.CA2009
On Uniform Approximation of Rational Perturbations of Cauchy Integrals
Maxim Yattselev
We study AAK as well as Padé approximants to functions f, where f is a sum of a Cauchy transform of a complex measure μsupported on a real interval included in (-1,1), whose Radon-…