On sampling discretization in $L_2$
Functional Analysis
2021-04-23 v2 Numerical Analysis
Numerical Analysis
Abstract
We prove a sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number of sampling points of the order of the dimension of the subspace
Keywords
Cite
@article{arxiv.2009.10789,
title = {On sampling discretization in $L_2$},
author = {Irina Limonova and Vladimir Temlyakov},
journal= {arXiv preprint arXiv:2009.10789},
year = {2021}
}
Comments
20 pages, presentation changed