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- aggregation classification "A1".
- aggregation creator B255475.
- aggregation creator B255476.
- aggregation creator person.
- aggregation date "2008".
- aggregation format "application/pdf".
- aggregation hasFormat 681413.bibtex.
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- aggregation isPartOf urn:issn:1065-2469.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "The Bochner-Martinelli transform with a continuous density: Davydov's theorem".
- aggregation abstract "In this paper, we extend to the theory of functions of several complex variables, a theorem due to Davydov from classical complex analysis. We prove the following: if Omega subset of C-n is a bounded domain with boundary partial derivative Omega of finite (2n - 1)-dimensional Hausdorff measure H2n-1 and f is a continuous complex-valued function on partial derivative Omega such that integral(partial derivative Omega\{zeta epsilon partial derivative Omega:|zeta - t|<= r}) |f(zeta) - f(t)|/|zeta - t|(2n-1) dH(2n-1)(zeta) converges uniformly on partial derivative Omega as r -> 0, then the Bochner-Martinelli transform on Omega of f admits a continuous extension to partial derivative Omega and the Sokhotski-Plemelj formulae hold. For n = 2, we briefly sketch how quaternionic analysis techniques may be used to give an alternative proof of the above result.".
- aggregation authorList BK529519.
- aggregation endPage "620".
- aggregation issue "9".
- aggregation startPage "613".
- aggregation volume "19".
- aggregation aggregates 713457.
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