Random sampling and unisolvent interpolation by almost everywhere analytic functions
Numerical Analysis
2023-03-27 v1 Numerical Analysis
Abstract
We prove a.s. (almost sure) unisolvency of interpolation by continuous random sampling with respect to any given density, in spaces of multivariate a.e. (almost everywhere) analytic functions. Examples are given concerning polynomial and RBF approximation.
Cite
@article{arxiv.2303.14074,
title = {Random sampling and unisolvent interpolation by almost everywhere analytic functions},
author = {Francesco Dell'Accio and Alvise Sommariva and Marco Vianello},
journal= {arXiv preprint arXiv:2303.14074},
year = {2023}
}