Hermite-Pad\'e approximants for a pair of Cauchy transforms with overlapping symmetric supports

15 May 2015 Aptekarev Alexander I. Van Assche Walter Yattselev Maxim L.

Hermite-Pad\'e approximants of type II are vectors of rational functions with common denominator that interpolate a given vector of power series at infinity with maximal order. We are interested in the situation when the approximated vector is given by a pair of Cauchy transforms of smooth complex measures supported on the real line... (read more)

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Categories


  • CLASSICAL ANALYSIS AND ODES
  • COMPLEX VARIABLES