Padé approximation for a multivariate Markov transform

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摘要

Methods of Padé approximation are used to analyse a multivariate Markov transform which has been recently introduced by the authors. The first main result is a characterization of the rationality of the Markov transform via Hankel determinants. The second main result is a cubature formula for a special class of measures.

论文关键词：primary 41A21,secondary 41A63,Markov transform,Padé approximation,Moment problem,Quadrature,Cubature

论文评审过程：Received 30 October 2006, Revised 2 March 2007, Available online 10 May 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.05.004