Padé approximation for a multivariate Markov transform

Details Padé approximation for a multivariate Markov transform Padé approximation for a multivariate Markov transform

2011-12-06

arxiv.org/abs/1112.1130v1

Journal of Computational and Applied Mathematics, Volume 219, Issue 2, September 2008, Pages 416-430

Mathematics

Numerical Analysis

23 pages

Scientific paper

10.1016/j.cam.2007.05.004

Methods of Pad\'e approximation are used to analyse a multivariate Markov transform which has been recently introduced by the authors, and which is generalizing the well-known in Spectral theory Stieltjes transform (Markov function) of one-dimensional measure. 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.

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