Pad\'e approximation for a multivariate Markov transform
Numerical Analysis
2011-12-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1112.1130,
title = {Pad\'e approximation for a multivariate Markov transform},
author = {Ognyan Kounchev and Hermann Render},
journal= {arXiv preprint arXiv:1112.1130},
year = {2011}
}
Comments
23 pages