D. Dryanov et O. Kounchev, Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin, MATH NACHR, 226, 2001, pp. 65-83
In the present paper we provide a multivariate generalization of the Euler
- Maclaurin formula which is based on an appropriate multivariate extension
of the Bernoulli functions.