English

Discrepancy and approximation of absolutely continuous measures with atomic measures

Functional Analysis 2023-10-17 v1

Abstract

We prove several results concerning the discrepancy, tested on balls in the dd-dimensional torus Td\mathbb{T}^{d}, between absolutely continuous measures and finite atomic measures.

Keywords

Cite

@article{arxiv.2310.10120,
  title  = {Discrepancy and approximation of absolutely continuous measures with atomic measures},
  author = {Luca Brandolini and Leonardo Colzani and Giancarlo Travaglini},
  journal= {arXiv preprint arXiv:2310.10120},
  year   = {2023}
}
R2 v1 2026-06-28T12:51:34.292Z