The commutative neutrix products f₊(x) · δ ⁽ʳ⁾(x) and f₋(x) · δ ⁽ʳ⁾(x) are evaluated for r=0,1,2,…, where f is a function which is infinitely differentiable on an open interval containing the origin and f₊(x) =H(x)f(x) and f₋(x) =H(-x)f(x), H denoting Heaviside's function. 2000 Mathematics Subject Classification. 46F10
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Fisher et al. (2024) studied this question.
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