A remark on the convolution with the box spline

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.

Authors

Michèle Vergne

Institut de Mathématiques de Jussieu
175 rue du Chevaleret
75013 Paris
France