Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation

2018/05/06 by G. López Lagomasino, Lagomasino, G. López, S. Medina Peralta +3 · 1 citation
Mathematics · #30E10 #41A20 #42C05 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30E10 #msc:41A20 #msc:42C05

paper · pdf · doi:10.48550/arxiv.1805.02195

22 pages

arxiv created 2018/05/06 · arxiv updated 2018/05/08

Abstract

In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Padé approximants of a Nikishin system. The study is motivated by a mixed Hermite-Padé approximation scheme used in the construction of solutions of a Degasperis-Procesi peakon problem and germane to the analysis of the inverse spectral problem for the discrete cubic string.

Cited by

• On Isospectral flows related to (dual) cubic strings: Novikov, DP peakons and B, C-Toda lattices

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