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Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging to the Dirac-delta function δ(x). The noncommutative neutrix product f ◦ g of f and g is defined to be the neutrix limit of the sequence { f gn}, provided the limit h exists in the sense that N-limn→∞〈 f (x)gn(x),φ(x)〉 = 〈h(x),φ(x)〉, for all test functions in(More)
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