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 Meromorphic and Multipoint Padé Approximants for Complex Cauchy Transforms with Polar Singularities
 (2006)
 We study the asymptotic pole distribution and the convergence in capacity of AAK-type meromorphic approximants as well as multipoint Padé approximants to functions of the form $$F(z)=\int\frac{d\mes(t)}{z-t}+R(z),$$ where $R$ is a rational function and $\mu$ a complex measure with compact regular support included in $\R$, whose argument has bounded variation on the support.
 1: APICS (INRIA Sophia Antipolis) INRIA
 Domain : Mathematics/Classical Analysis and ODEs
 Keywords: meromorphic approximation – AAK-theory – rational approximation – Padé approximation – multipoint approximation – orthogonal polynomials – Hardy spaces – critical points
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 inria-00119160, version 1 http://hal.inria.fr/inria-00119160 oai:hal.inria.fr:inria-00119160 From: Maxim Yattselev <> Submitted on: Friday, 8 December 2006 11:11:49 Updated on: Friday, 8 December 2006 12:04:21