## Communications in Mathematical Analysis

### Moments of Complex B-Splines

P. Massopust

#### Abstract

A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based on this relationship, a formula for the computation of certain moments of multivariate complex B-splines is derived. In addition, an infinite-dimensional analogue of the Lauricella function $F_B$ is defined and a relation to the moments of multivariate complex B-splines is presented.

#### Article information

Source
Commun. Math. Anal., Volume 12, Number 2 (2012), 58-70.

Dates
First available in Project Euclid: 16 March 2012