English

A Remark on the Convolution with Box Splines

Commutative Algebra 2010-03-09 v1 Combinatorics

Abstract

The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the difference between semi-discrete convolution and convolution with the Box Spline. This formula involves multiple Bernoulli polynomials.

Cite

@article{arxiv.1003.1574,
  title  = {A Remark on the Convolution with Box Splines},
  author = {Michele Vergne},
  journal= {arXiv preprint arXiv:1003.1574},
  year   = {2010}
}
R2 v1 2026-06-21T14:54:56.133Z