On the singular Bochner-Martinelli integral

The Bochner-Martinelli (B.-M.) kernel inherits, forn2, only some of properties of the Cauchy kernel in . For instance it is known that the singular B.-M. operatorM_n is not an involution forn2. M. Shapiro and N. Vasilevski found a formula forM₂² using methods of quaternionic analysis which are essentially complex-twodimensional. The aim of this article is to present a formula forM_n² for anyn2. We use now Clifford Analysis but forn=2 our formula coincides, of course, with the above-mentioned one.