Abstract
A variation of Hadamard’s finite part integrals is described which can be used to solve a class of problems in a direct manner, eliminating the “ascent-descent” technique which Hadamard used. It is shown that the Green’s formula derived from the standard singular solution for the scalar wave equation yields the Kirchhoff formulas, if, when the space dimension is odd, one retains the logarithmically infinite part of the principal value integral.
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