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On the singular Bochner-Martinelli integral (1998)

Rocha-Chávez, R. ; Shapiro, M. ; Sommen, F.

Springer

Integral equations and operator theory 32 (1998), S. 354-365

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ISSN: 1420-8989

Keywords: Primary: 32A25 ; 42B20 ; Secondary: 30G35

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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 2 2 using methods of quaternionic analysis which are essentially complex-twodimensional. The aim of this article is to present a formula forM n 2 for anyn≥2. We use now Clifford Analysis but forn=2 our formula coincides, of course, with the above-mentioned one.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01203775

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