Multivariate polynomial interpolation based on Radon projections

We study multivariate polynomial interpolation based on Radon projections corresponding to the intersection of hyperplanes and the coordinate axes of \(\mathbb {R}^n\) ${\mathbb{R}}^n$ . We give a characterization of these hyperplanes which determine an interpolation polynomial uniquely. We also establish conditions such that the interpolation projectors based on Radon projections converge to the Taylor projector.