Abstract
The Bochner-Martinelli (B.-M.) kernel inherits, forn≥2, only some of properties of the Cauchy kernel in ℂ. For instance it is known that the singular B.-M. operatorM n is not an involution forn≥2. M. Shapiro and N. Vasilevski found a formula forM 22 using methods of quaternionic analysis which are essentially complex-twodimensional. The aim of this article is to present a formula forM 2n for anyn≥2. We use now Clifford Analysis but forn=2 our formula coincides, of course, with the above-mentioned one.
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Rocha-Chávez, R., Shapiro, M. & Sommen, F. On the singular Bochner-Martinelli integral. Integr equ oper theory 32, 354–365 (1998). https://doi.org/10.1007/BF01203775
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DOI: https://doi.org/10.1007/BF01203775