most citedConstrained extremal problems in the Hardy space H2 and Carleman's formulas

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math.CA2008

Multipoint Padé Approximants to Complex Cauchy Transforms with Polar Singularities

L. Baratchart, M. Yattselev

We study diagonal multipoint Padé approximants to sums of a Cauchy transform of a complex measure and a rational function. The measure is assumed to have compact regular support in…