On the singular Bochner-Martinelli integral

The Bochner-Martinelli (B.-M.) kernel inherits, for n ≥ 2, only some of properties of the Cauchy kernel in ℂ. For instance it is known that the singular B.-M. operator M_n is not an involution for n ≥ 2. M. Shapiro and N. Vasilevski found a formula for M²₂ using methods of quaternionic analysis which are essentially complex-twodimensional. The aim of this article is to present a formula for M²_n for any n ≥ 2. We use now Clifford Analysis but for n = 2 our formula coincides, of course, with the above-mentioned one.