Brian Fisher, Adem Kili\c cman, Blagovest Damyanov, J.C. Ault
On the non-commutative neutrix product $\ln x_+ \circ x_+ ^{-s}$

Abstract:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved to exist for $s=1,2,...$ and is evaluated for $s=1,2$. The existence of the non-commutative neutrix product of the distributions $x_+^{-r}$ and $x_+ ^{-s}$ is then deduced for $r,s= 1,2,...$ and evaluated for $r=s=1$.

Keywords: distribution, delta-function, neutrix, neutrix limit, neutrix product
AMS Subject Classification: 46F10

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