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Note on Newtonian Force-Fields
Published online by Cambridge University Press: 20 November 2018
Extract
Although the behaviour of Newtonian potentials inside n-dimensional distributions of mass or charge has been discussed in the sense of Lebesgue-Stieltjes integrals by various authors, the discussion of various important theorems seems to have been made only in the sense of Riemann integration, and assuming the Hälder conditions (or at least piecewise continuity) for the volume density p. We shall generalize these theorems below.
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- Copyright © Canadian Mathematical Society 1949
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