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| HAL: inria-00119160, version 1 |
| See detailed view |  BibTeX,EndNote,... |
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| Available versions | v1 (2006-12-08) | v2 (2010-08-03) |
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| Meromorphic and Multipoint Padé Approximants for Complex Cauchy Transforms with Polar Singularities |
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| Laurent Baratchart 1Maxim Yattselev 1 |
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| (2006) |
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| 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. |
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| 1: | APICS (INRIA Sophia Antipolis) |
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INRIA |
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| Domain | : | Mathematics/Classical Analysis and ODEs |
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| 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 | |
